Published Papers

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.	Download
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.	Download
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. 34B18
do Ó, João Marcos; Medeiros, Everaldo; Severo, Uberlandio A nonhomogeneous elliptic problem involving critical growth in dimension two. J. Math. Anal. Appl. 345 (2008), no. 1, 286--304. 35J60 (35B33 47J30 58Exx)
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. 34B18
do Ó, João Marcos; Lorca, Sebastián; Sánchez, Justino; Ubilla, Pedro Superlinear ordinary elliptic systems involving parameters. Mat. Contemp. 32 (2007), 107--127. 35J55 (34B18 35J60 47J05 47N20)
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. 35J60 (35B33 35Q51 47J30 49J35)
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. 34B15 (47H11 47N20)
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. (Reviewer: Stephen B. Robinson) 35J55 (34B15 34B18 35J40 35J60)
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. (Reviewer: Chun-Lei Tang) 34C25 (34B15 35B10 35J60 47J05 47N20)
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.	Download
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. (Reviewer: Antonio Suárez Fernández) 35J55 (35B45 35J60)
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. 35J55 (34B18 35J50 35J60 47N20 58E05)
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. (Reviewer: Rolando Magnanini) 35J60 (34B18 35B05 35J25 45B05)
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)
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.	Download
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	Download
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.	Download
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.	Download
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.	Download
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.	Download
do Ó, João Marcos; Lorca, Sebastián; Ubilla, Pedro, Local superlinearity for elliptic systems involving parameters, J. Differential Equations 211 (2005), 1--19.	Download
do Ó, João Marcos; Ruf, Bernhard, On a Schrödinger equation with periodic potential and critical growth in R^2. To appear in NoDEA	Download
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.	Download
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.	Download
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)	Download
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.	Download
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.	Download
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.	Download
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.	Download
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.	Download
Chabrowski, J.; Bezzera do Ó, João Marcos On semilinear elliptic equations involving concave and convex nonlinearities. Math. Nachr. 233/234 (2002), 55--76.	Download
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.	Download
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.	Download
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.	Download
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.	Download
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.	Download
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.	Download
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.	Download
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.	Download
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.	Download
Bezerra do Ó, João Marcos Existence of solutions for quasilinear elliptic equations. J. Math. Anal. Appl. 207 (1997), no. 1, 104--126.	Download
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.	Download
Marcos B. do Ó, Joao Quasilinear elliptic equations with exponential nonlinearities. Comm. Appl. Nonlinear Anal. 2 (1995), no. 3, 63--72. 35J65	Download