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[56]

Costa, David G.; do Ó, João Marcos; Tintarev, Kyril Schrödinger equations with critical nonlinearity, singular potential and a ground state. J. Differential Equations 249 (2010), no. 2, 240–25

 

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[55]

 

do Ó, João Marcos; Yang, Y. A quasi-linear elliptic equation with critical growth on compact Riemannian manifold without boundary, Annals of Global Analysis and Geometry, Ann Glob Anal Geom 38 (2010), 317–334.

 

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[54]

Adimurthi, Joao Marcos do ´O and Kyril Tintarev, Cocompactness and minimizers for inequalities of Hardy–Sobolev type involving N-Laplacian, Nonlinear Differ. Equ. Appl. 17 (2010), 467–477.

 

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[53]

do Ó, João Marcos; Severo, Uberlandio Solitary waves for a class of quasilinear Schrödinger equations in dimension two. Calc. Var. Partial Differential Equations 38 (2010), no. 3-4, 275--315.

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[52]

do Ó, João M. Bezerra; Miyagaki, Olímpio H.; Soares, Sérgio H. M. Soliton solutions for quasilinear Schrödinger equations with critical growth. J. Differential Equations 248 (2010), no. 4, 722--744

 
[51]

Cassani, Daniele; do Ó, João Marcos; Moameni, Abbas Existence and concentration of solitary waves for a class of quasilinear Schrödinger equations. Commun. Pure Appl. Anal. 9 (2010), no. 2, 281--306.

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[50]

Abreu, Emerson; do Ó, João Marcos; Medeiros, Everaldo Properties of positive harmonic functions on the half-space with a nonlinear boundary condition. J. Differential Equations 248 (2010), no. 3, 617--637.

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[49]

de Paiva, Francisco Odair; do Ó, João Marcos; de Medeiros, Everaldo Souto Multiplicity results for some quasilinear elliptic problems. Topol. Methods Nonlinear Anal. 34 (2009), no. 1, 77--89.

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[48]

do Ó, João Marcos; Moameni, Abbas; Severo, Uberlandio Semi-classical states for quasilinear Schrödinger equations arising in plasma physics. Commun. Contemp. Math. 11 (2009), no. 4, 547--583.

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[47]

do Ó, João Marcos; Moameni, Abbas Solitary waves for quasilinear Schrödinger equations arising in plasma physics. Adv. Nonlinear Stud. 9 (2009), no. 3, 479--497.

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[46]  Marcos do Ó, João; Medeiros, Everaldo; Severo, Uberlandio On a quasilinear nonhomogeneous elliptic equation with critical growth in $\Bbb R^N$. J. Differential Equations 246 (2009), no. 4, 1363--1386. PDF Doc Del Clipboard Journal Article Make Link   

 

[45]

do Ó, João Marcos; Medeiros, E., Severo, U., On a quasilinear nonhomogeneous elliptic equation with critical growth in $\mathbb{R}^N$, Journal of Differential Equations, to appear.

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[44]

De Figueiredo, D.G., do Ó, J.M., Ruf, B., Non variational elliptic systems in dimension two: a priori bounds and existence of positive solutions , J. Fixed Point Theory and Appl., (2008), to appear.

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[43]

do Ó, João Marcos; Severo, U., Quasilinear Schrödinger equations involving concave and convex nonlinearities, Commun. Pure Appl. Anal. (2009), to appear.

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[42]

D. Cassani, J. M. Do O, N. Ghoussoub: On a fourth order elliptic problem with a singular nonlinearity, Journal Adv. Nonlinear Studies, (2008), to appear.

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[41]

do Ó, João Marcos; Medeiros, E., Severo, U., A nonhomogeneous elliptic problem involving critical growth in dimension two, J. Math. Anal. Appl. 345 (2008) 286–304.

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[40]

do Ó, João Marcos; Medeiros, E., Severo, U., On the existence of signed and sign-changing solutions for a class of superlinear Schrödinger equations,  J. Math. Anal. Appl. 342 (2008) 432–445.

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[39]

do Ó, João Marcos; Lorca, Sebastián; Ubilla, Pedro, Multiplicity of solutions for a class of non-homogeneous fourth-order boundary value problems. Appl. Math. Lett. 21 (2008), no. 3, 279--286.

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[38]

do Ó, João Marcos; Lorca, Sebastián; Sánchez, Justino; Ubilla, Pedro Superlinear ordinary elliptic systems involving parameters. Mat. Contemp. 32 (2007), 107--127.

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[37]

do Ó, João M. B.; Miyagaki, Olímpio H.; Soares, Sérgio H. M. Soliton solutions for quasilinear Schrödinger equations: the critical exponential case. Nonlinear Anal. 67 (2007), no. 12, 3357--3372.

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[36]

Benevieri, Pierluigi; do Ó, João Marcos; de Medeiros, Everaldo Souto Nonlinear systems with mean curvature-like operators. Fixed point theory and its applications, 35--48, Banach Center Publ., 77, Polish Acad. Sci., Warsaw, 2007.

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[35]

 do Ó, J. M.; Lorca, S.; Sánchez, J.; Ubilla, P. Positive solutions for a class of multiparameter ordinary elliptic systems. J. Math. Anal. Appl. 332 (2007), no. 2, 1249--1266.  

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[34]

Benevieri, Pierluigi; do Ó, João Marcos; de Medeiros, Everaldo Souto Periodic solutions for nonlinear equations with mean curvature-like operators. Appl. Math. Lett. 20 (2007), no. 5, 484--492.

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[33]

de Figueiredo, Djairo G.; do Ó, João Marcos; Ruf, Bernhard Semilinear elliptic systems with exponential nonlinearities in two dimensions. Adv. Nonlinear Stud. 6 (2006), no. 2, 199--213.

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[32]

do Ó, João Marcos; Lorca, Sebastián; Sánchez, Justino; Ubilla, Pedro, Positive radial solutions for some quasilinear elliptic systems in exterior domains. Commun. Pure Appl. Anal. 5 (2006), no. 3, 571--581.

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[31]

do Ó, J.; Lorca, S.; Sánchez, J.; Ubilla, P. Non-homogeneous elliptic equations in exterior domains. Proc. Roy. Soc. Edinburgh Sect. A 136 (2006), no. 1, 139--147.

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[30]

do Ó, João Marcos; Lorca, Sebastián; Ubilla, Pedro Multiparameter elliptic equations in annular domains. Contributions to nonlinear analysis, 233--245, Progr. Nonlinear Differential Equations Appl., 66, Birkhäuser, Basel, 2006. 35J60 (34B18 35J25 47N20)

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[29]

de Figueiredo, Djairo G.; do Ó, João Marcos; Ruf, Bernhard, An Orlicz-space approach to superlinear elliptic systems. J. Funct. Anal. 224 (2005), 471--496.

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[28]

do Ó, João Marcos; Lorca, Sebastián; Ubilla, Pedro, Multiparameter Elliptic Equations in Annular Domains, Progress in Nonlinear Differential Equations and Their Applications, Vol. 66, (2005), 233–246

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[27]

do Ó, João Marcos, On existence and concentration of positive bound states of p-Laplacian equations in ${\Bbb R}\sp N$ involving critical growth. Nonlinear Anal. 62 (2005), 777--801.

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[26]

do Ó, João Marcos; Lorca, Sebastián; Ubilla, Pedro, Three positive radial solutions for elliptic equations in a ball, Appl. Math. Lett., 18, (2005), 1163-1169.

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[25]

do Ó, João Marcos; Lorca, Sebastián; Ubilla, Pedro,  Proc. Edinb. Math. Soc., Three positive solutions for a class of elliptic systems in annular domains, Proc. Edinburgh Math. Soc. 48 (2005), 365-373.

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[24]

Abreu, Emerson A. M.; Marcos do Ó, João; Medeiros, Everaldo S., Multiplicity of positive solutions for a class of quasilinear nonhomogeneous Neumann problems, Nonlinear Anal. 60 (2005), 1443--1471.

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[23]

do Ó, João Marcos; Lorca, Sebastián; Ubilla, Pedro,  Local superlinearity for elliptic systems involving parameters, J. Differential Equations 211 (2005), 1--19.

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[22]

do Ó, João Marcos; Ruf, Bernhard, On a Schrödinger equation with periodic potential and critical growth in R^2. To appear in NoDEA  

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[21]

de Figueiredo, Djairo G.; do Ó, João Marcos; Ruf, Bernhard, Critical and subcritical elliptic systems in dimension two. Indiana Univ. Math. J. 53 (2004), 1037--1054.

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[20]

Alves, C. O.; do Ó, João Marcos; Miyagaki, O. H. On nonlinear perturbations of a periodic elliptic problem in $\Bbb R\sp 2$ involving critical growth. Nonlinear Anal. 56 (2004), 781--791.

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[19]

do Ó, João Marcos; Medeiros, Everaldo S. Remarks on least energy solutions for quasilinear elliptic problems in $\Bbb R\sp N$. Electron. J. Differential Equations 2003, No. 83, 14 pp. (electronic). 35J60 (35J20 47J30 58E05)

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[18]

 Bertone, Ana Maria; do Ó, João Marcos On a class of semilinear Schrödinger equations involving critical growth and discontinuous nonlinearities. Nonlinear Anal. 54 (2003), no. 5, 885--906.

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[17]

 Marcos do Ó, João; Ubilla, Pedro Multiple solutions for a class of quasilinear elliptic problems. Proc. Edinb. Math. Soc. (2) 46 (2003), no. 1, 159--168.

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[16]

 Marcos do Ó, João; Ubilla, Pedro A multiplicity result for a class of superquadratic Hamiltonian systems. Electron. J. Differential Equations 2003, No. 15, 14 pp.

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[15]

Alves, C. O.; do Ó, João Marcos; Miyagaki, O. H. On a class of singular biharmonic problems involving critical exponents. J. Math. Anal. Appl. 277 (2003), no. 1, 12--26.

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[14]

Chabrowski, J.; Marcos do Ó, João On some fourth-order semilinear elliptic problems in $\Bbb R\sp N$. Nonlinear Anal. 49 (2002), no. 6, Ser. A: Theory Methods, 861--884.

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[13]

Chabrowski, J.; Bezzera do Ó, João Marcos On semilinear elliptic equations involving concave and convex nonlinearities. Math. Nachr. 233/234 (2002), 55--76.

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[12]

Alves, Claudianor O.; do Ó, João Marcos Positive solutions of a fourth-order semilinear problem involving critical growth. Adv. Nonlinear Stud. 2 (2002), no. 4, 437--458.

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[11]

de Figueiredo, Djairo G.; do Ó, João Marcos; Ruf, Bernhard On an inequality by N. Trudinger and J. Moser and related elliptic equations. Comm. Pure Appl. Math. 55 (2002), no. 2, 135--152.

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[10]

Alves, C. O.; do Ó, João Marcos; Souto, M. A. S. Local mountain-pass for a class of elliptic problems in $\Bbb R\sp N$ involving critical growth. Nonlinear Anal. 46 (2001), no. 4, Ser. A: Theory Methods, 495--510.

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[9]

do Ó, João Marcos; Souto, Marco A. S. On a class of nonlinear Schrödinger equations in $\Bbb R\sp 2$ involving critical growth. J. Differential Equations 174 (2001), no. 2, 289--311.

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[8]

Alves, C. O.; Marcos do Ó, João; Miyagaki, O. H. Nontrivial solutions for a class of semilinear biharmonic problems involving critical exponents. Nonlinear Anal. 46 (2001), no. 1, Ser. A: Theory Methods, 121--133.

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[7]

Alves, C. O.; Marcos do Ó, João; Miyagaki, O. H. On perturbations of a class of a periodic $m$-Laplacian equation with critical growth. Nonlinear Anal. 45 (2001), no. 7, Ser. A: Theory Methods, 849--863.

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[6]

de Morais Filho, Daniel Cordeiro; Souto, Marco A. S.; do O., João Marcos A compactness embedding lemma, a principle of symmetric criticality and applications to elliptic problems. Proyecciones 19 (2000), no. 1, 1--17.

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[5]

B. do Ó, João Marcos $N$-Laplacian equations in $\bold R\sp N$ with critical growth. Abstr. Appl. Anal. 2 (1997), no. 3-4, 301--315.

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[4]

do Ó, João Marcos B. Solutions to perturbed eigenvalue problems of the $p$-Laplacian in $ R\sp N$. Electron. J. Differential Equations 1997, No. 11, 15 pp.

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[3]

Bezerra do Ó, João Marcos Existence of solutions for quasilinear elliptic equations. J. Math. Anal. Appl. 207 (1997), no. 1, 104--126.

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[2]

Marcos B. do Ó, João Semilinear Dirichlet problems for the $N$-Laplacian in $\bold R\sp N$ with nonlinearities in the critical growth range. Differential Integral Equations 9 (1996), no. 5, 967--979.

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[1]

Marcos B. do Ó, Joao Quasilinear elliptic equations with exponential nonlinearities. Comm. Appl. Nonlinear Anal. 2 (1995), no. 3, 63--72. 35J65

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