de Paiva, Francisco Odair; Miyagaki, Olímpio H.; Presoto, Adilson E. Existence of solutions for the Brezis-Nirenberg problem. (English) Zbl 07787954 Topol. Methods Nonlinear Anal. 61, No. 2, 651-659 (2023). MSC: 35J91 35J25 35A01 PDFBibTeX XMLCite \textit{F. O. de Paiva} et al., Topol. Methods Nonlinear Anal. 61, No. 2, 651--659 (2023; Zbl 07787954) Full Text: DOI Link
Costa, David G.; de Figueiredo, Djairo G.; Moreira dos Santos, Ederson; Miyagaki, Olimpio Hiroshi Fractional Sobolev spaces of symmetric functions and applications to Hamiltonian elliptic systems. (English) Zbl 1519.46020 Pure Appl. Funct. Anal. 8, No. 1, 171-185 (2023). MSC: 46E35 46E30 31B30 31A30 35J30 35J40 PDFBibTeX XMLCite \textit{D. G. Costa} et al., Pure Appl. Funct. Anal. 8, No. 1, 171--185 (2023; Zbl 1519.46020) Full Text: Link
Hurtado, Elard Juárez; Miyagaki, Olimpio H.; Rodrigues, Rodrigo S. Multiplicity of solutions to class of nonlocal elliptic problems with critical exponents. (English) Zbl 07780630 Math. Methods Appl. Sci. 45, No. 7, 3949-3973 (2022). MSC: 35J57 35J62 35A01 35A15 PDFBibTeX XMLCite \textit{E. J. Hurtado} et al., Math. Methods Appl. Sci. 45, No. 7, 3949--3973 (2022; Zbl 07780630) Full Text: DOI
Marcial, Marcos R.; Miyagaki, Olimpio H.; Pereira, Gilberto A. Topological structure of the solution set for a fractional \(p\)-Laplacian problem with singular nonlinearity. (English) Zbl 1496.35012 Electron. J. Differ. Equ. 2022, Paper No. 60, 19 p. (2022). MSC: 35A16 35B65 35J25 35J75 35J92 35P30 35R11 PDFBibTeX XMLCite \textit{M. R. Marcial} et al., Electron. J. Differ. Equ. 2022, Paper No. 60, 19 p. (2022; Zbl 1496.35012) Full Text: Link
Barboza, Eudes M.; Miyagaki, Olimpio H.; Pereira, Fábio R.; Santana, Cláudia R. Nonlocal Hénon equation with nonlinearities involving Sobolev critical and supercritical growth. (English) Zbl 1490.35177 Adv. Differ. Equ. 27, No. 7-8, 407-435 (2022). MSC: 35J91 35R11 35J25 35A01 PDFBibTeX XMLCite \textit{E. M. Barboza} et al., Adv. Differ. Equ. 27, No. 7--8, 407--435 (2022; Zbl 1490.35177) Full Text: Link
Bueno, Hamilton P.; Caqui, Eduardo Huerto; Miyagaki, Olimpio H. Critical fractional elliptic equations with exponential growth. (English) Zbl 1470.35389 J. Elliptic Parabol. Equ. 7, No. 1, 75-99 (2021). MSC: 35R11 35A16 35A15 35B33 35J25 35J92 PDFBibTeX XMLCite \textit{H. P. Bueno} et al., J. Elliptic Parabol. Equ. 7, No. 1, 75--99 (2021; Zbl 1470.35389) Full Text: DOI arXiv
de Araujo, Anderson L. A.; Faria, Luiz F. O.; Leite, Edir J. F.; Miyagaki, Olímpio H. Positive solutions for non-variational fractional elliptic systems with negative exponents. (English) Zbl 1467.35334 Z. Anal. Anwend. 40, No. 1, 111-129 (2021). MSC: 35R11 35J57 35J61 35A16 PDFBibTeX XMLCite \textit{A. L. A. de Araujo} et al., Z. Anal. Anwend. 40, No. 1, 111--129 (2021; Zbl 1467.35334) Full Text: DOI arXiv
Barboza, Eudes M.; Miyagaki, Olimpio H.; Pereira, Fábio R.; Santana, Cláudia R. Hénon equation with nolinearities involving Sobolev critical growth in \(H^1_{0,\mathrm{rad}}(B_1)\). (English) Zbl 1466.35210 Electron. J. Differ. Equ. 2021, Paper No. 20, 18 p. (2021). MSC: 35J91 35J25 35A01 35J20 PDFBibTeX XMLCite \textit{E. M. Barboza} et al., Electron. J. Differ. Equ. 2021, Paper No. 20, 18 p. (2021; Zbl 1466.35210) Full Text: Link
Miyagaki, O. H.; Motreanu, D.; Pereira, F. R. Multiple solutions for a fractional elliptic problem with critical growth. (English) Zbl 1453.35181 J. Differ. Equations 269, No. 6, 5542-5572 (2020). MSC: 35R11 35J20 35J25 35J61 PDFBibTeX XMLCite \textit{O. H. Miyagaki} et al., J. Differ. Equations 269, No. 6, 5542--5572 (2020; Zbl 1453.35181) Full Text: DOI
Barboza, Eudes. M.; Miyagaki, Olimpio H.; Pereira, Fábio R.; Santana, Cláudia R. Radial solutions for a class of Hénon type systems with partial interference with the spectrum. (English) Zbl 1437.35273 Commun. Pure Appl. Anal. 19, No. 6, 3159-3187 (2020). MSC: 35J57 35A15 PDFBibTeX XMLCite \textit{Eudes. M. Barboza} et al., Commun. Pure Appl. Anal. 19, No. 6, 3159--3187 (2020; Zbl 1437.35273) Full Text: DOI
Wu, Yuhu; Ge, Bin; Miyagaki, Olímpio H. Existence results for the Klein-Gordon-Maxwell system in rotationally symmetric bounded domains. (English) Zbl 1419.35069 Z. Anal. Anwend. 38, No. 2, 209-229 (2019). MSC: 35J91 35J25 35J50 PDFBibTeX XMLCite \textit{Y. Wu} et al., Z. Anal. Anwend. 38, No. 2, 209--229 (2019; Zbl 1419.35069) Full Text: DOI
Carvalho, Marcos L. M.; Goncalves, José Valdo A.; Goulart, Claudiney; Miyagaki, Olímpio H. Multiplicity of solutions for a nonhomogeneous quasilinear elliptic problem with critical growth. (English) Zbl 1462.58007 Commun. Pure Appl. Anal. 18, No. 1, 83-106 (2019). Reviewer: Zhiqing Han (Dalian) MSC: 58E05 35J20 35J92 35J25 35J60 PDFBibTeX XMLCite \textit{M. L. M. Carvalho} et al., Commun. Pure Appl. Anal. 18, No. 1, 83--106 (2019; Zbl 1462.58007) Full Text: DOI arXiv
Juárez Hurtado, E.; Miyagaki, O. H.; Rodrigues, R. S. Existence and multiplicity of solutions for a class of elliptic equations without Ambrosetti-Rabinowitz type conditions. (English) Zbl 1400.35126 J. Dyn. Differ. Equations 30, No. 2, 405-432 (2018). MSC: 35J62 35J58 46E35 35A15 PDFBibTeX XMLCite \textit{E. Juárez Hurtado} et al., J. Dyn. Differ. Equations 30, No. 2, 405--432 (2018; Zbl 1400.35126) Full Text: DOI
Faria, Luiz F. O.; Miyagaki, Olimpio H.; Pereira, Fábio R. Critical Brezis-Nirenberg problem for nonlocal systems. (English) Zbl 1395.49005 Topol. Methods Nonlinear Anal. 50, No. 1, 333-355 (2017). Reviewer: Leszek Gasiński (Kraków) MSC: 49J35 35A15 35S15 35J47 PDFBibTeX XMLCite \textit{L. F. O. Faria} et al., Topol. Methods Nonlinear Anal. 50, No. 1, 333--355 (2017; Zbl 1395.49005) Full Text: DOI
Assunção, Ronaldo Brasileiro; Miyagaki, Olimpio Hiroshi; de Assis Pereira, Gilberto; Rodrigues, Bruno Mendes On a class of nonhomogeneous equations of Hénon-type: symmetry breaking and non radial solutions. (English) Zbl 1381.35054 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 165, 102-120 (2017). MSC: 35J70 35J66 PDFBibTeX XMLCite \textit{R. B. Assunção} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 165, 102--120 (2017; Zbl 1381.35054) Full Text: DOI
Hurtado, Elard Juárez; Miyagaki, Olímpio Hiroshi; Rodrigues, Rodrigo da Silva Existence and asymptotic behaviour for a Kirchhoff type equation with variable critical growth exponent. (English) Zbl 1394.35181 Milan J. Math. 85, No. 1, 71-102 (2017). MSC: 35J60 35J58 35B33 PDFBibTeX XMLCite \textit{E. J. Hurtado} et al., Milan J. Math. 85, No. 1, 71--102 (2017; Zbl 1394.35181) Full Text: DOI
de Godoi, Juliano D. B.; Miyagaki, Olímpio H.; Rodrigues, Rodrigo S. A class of nonlinear elliptic systems with Steklov-Neumann nonlinear boundary conditions. (English) Zbl 1360.35064 Rocky Mt. J. Math. 46, No. 5, 1519-1545 (2016). Reviewer: Marcelo Furtado (Brasília) MSC: 35J50 35J57 45C05 35J66 PDFBibTeX XMLCite \textit{J. D. B. de Godoi} et al., Rocky Mt. J. Math. 46, No. 5, 1519--1545 (2016; Zbl 1360.35064) Full Text: DOI Euclid
Alves, Claudianor O.; Miyagaki, Olimpio H. A critical nonlinear fractional elliptic equation with saddle-like potential in \(\mathbb{R}^N\). (English) Zbl 1346.35205 J. Math. Phys. 57, No. 8, 081501, 17 p. (2016). MSC: 35R11 35J65 PDFBibTeX XMLCite \textit{C. O. Alves} and \textit{O. H. Miyagaki}, J. Math. Phys. 57, No. 8, 081501, 17 p. (2016; Zbl 1346.35205) Full Text: DOI arXiv
de Godoi, J. D. B.; Miyagaki, O. H.; Rodrigues, R. S. Steklov-Neumann eigenproblems: a spectral characterization of the Sobolev trace spaces. (English) Zbl 1317.35156 Milan J. Math. 83, No. 1, 177-198 (2015). MSC: 35P15 35J50 35J15 35J57 PDFBibTeX XMLCite \textit{J. D. B. de Godoi} et al., Milan J. Math. 83, No. 1, 177--198 (2015; Zbl 1317.35156) Full Text: DOI
Faria, Luiz F. O.; Miyagaki, Olímpio H.; Pereira, Fábio R. Quasilinear elliptic system in exterior domains with dependence on the gradient. (English) Zbl 1291.35088 Math. Nachr. 287, No. 4, 361-373 (2014). Reviewer: Leszek Gasiński (Kraków) MSC: 35J66 35J25 35J47 35B45 35B09 35J62 35D30 PDFBibTeX XMLCite \textit{L. F. O. Faria} et al., Math. Nachr. 287, No. 4, 361--373 (2014; Zbl 1291.35088) Full Text: DOI
de Morais Filho, D. C.; Faria, L. F. O.; Miyagaki, O. H.; Pereira, F. R. Infinitely many sign-changing solutions for a class of critical elliptic systems with Neumann conditions. (English) Zbl 1295.35212 Proc. R. Soc. Edinb., Sect. A, Math. 144, No. 1, 53-69 (2014). Reviewer: Leszek Gasiński (Kraków) MSC: 35J25 PDFBibTeX XMLCite \textit{D. C. de Morais Filho} et al., Proc. R. Soc. Edinb., Sect. A, Math. 144, No. 1, 53--69 (2014; Zbl 1295.35212) Full Text: DOI
Faria, L. F. O.; Miyagaki, O. H.; Motreanu, D.; Tanaka, M. Existence results for nonlinear elliptic equations with Leray-Lions operator and dependence on the gradient. (English) Zbl 1285.35014 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 96, 154-166 (2014). MSC: 35J25 35B09 PDFBibTeX XMLCite \textit{L. F. O. Faria} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 96, 154--166 (2014; Zbl 1285.35014) Full Text: DOI
Faria, Luiz F. O.; Miyagaki, Olímpio H.; Pereira, Fábio R. Existence results for quasilinear elliptic exterior problems involving convection term and nonlinear Robin boundary conditions. (English) Zbl 1194.35150 J. Math. Anal. Appl. 368, No. 2, 578-586 (2010). MSC: 35J60 35J66 35B09 35B65 35D30 PDFBibTeX XMLCite \textit{L. F. O. Faria} et al., J. Math. Anal. Appl. 368, No. 2, 578--586 (2010; Zbl 1194.35150) Full Text: DOI Link
Alves, M. J.; Assunção, R. B.; Carrião, P. C.; Miyagaki, O. H. Multiplicity of nontrivial solutions to a problem involving the weighted \(p\)-biharmonic operator. (English) Zbl 1194.31004 Mat. Contemp. 36, 11-27 (2009). MSC: 31A35 35J35 35J40 35J60 PDFBibTeX XMLCite \textit{M. J. Alves} et al., Mat. Contemp. 36, 11--27 (2009; Zbl 1194.31004)
Carrião, P. C.; de Figueiredo, D. G.; Miyagaki, O. H. Quasilinear elliptic equations of the Henon-type: existence of non-radial solutions. (English) Zbl 1182.35112 Commun. Contemp. Math. 11, No. 5, 783-798 (2009). MSC: 35J61 35J25 35J20 PDFBibTeX XMLCite \textit{P. C. Carrião} et al., Commun. Contemp. Math. 11, No. 5, 783--798 (2009; Zbl 1182.35112) Full Text: DOI
Carrião, Paulo C.; Faria, Luiz F. O.; Miyagaki, Olímpio H. A biharmonic elliptic problem with dependence on the gradient and the Laplacian. (English) Zbl 1176.31008 Electron. J. Differ. Equ. 2009, Paper No. 93, 12 p. (2009). MSC: 31B30 35G30 35J40 PDFBibTeX XMLCite \textit{P. C. Carrião} et al., Electron. J. Differ. Equ. 2009, Paper No. 93, 12 p. (2009; Zbl 1176.31008) Full Text: EuDML Link
Miotto, M. L.; Miyagaki, O. H. Multiple positive solutions for semilinear Dirichlet problems with sign-changing weight function in infinite strip domains. (English) Zbl 1173.35498 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7-8, 3434-3447 (2009). MSC: 35J65 35J20 35B20 35D05 PDFBibTeX XMLCite \textit{M. L. Miotto} and \textit{O. H. Miyagaki}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7--8, 3434--3447 (2009; Zbl 1173.35498) Full Text: DOI Link
Miyagaki, O. H.; Rodrigues, R. S. On positive solution for a class of degenerate quasilinear elliptic positone/semipositone systems. (English) Zbl 1152.35356 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 1, 99-116 (2009). MSC: 35J55 35J70 35B05 35B25 35B33 35D05 PDFBibTeX XMLCite \textit{O. H. Miyagaki} and \textit{R. S. Rodrigues}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 1, 99--116 (2009; Zbl 1152.35356) Full Text: DOI Link
Miyagaki, Olimpio H.; Rodrigues, Rodrigo S. On the existence of weak solutions for \(p,q\)-Laplacian systems with weights. (English) Zbl 1173.35451 Electron. J. Differ. Equ. 2008, Paper No. 115, 18 p. (2008). MSC: 35J55 35B25 35B33 35D05 35J70 PDFBibTeX XMLCite \textit{O. H. Miyagaki} and \textit{R. S. Rodrigues}, Electron. J. Differ. Equ. 2008, Paper No. 115, 18 p. (2008; Zbl 1173.35451) Full Text: EuDML EMIS
Miyagaki, Olímpio H.; Rodrigues, Rodrigo S. On multiple solutions for a singular quasilinear elliptic system involving critical Hardy-Sobolev exponents. (English) Zbl 1162.35025 Houston J. Math. 34, No. 4, 1271-1293 (2008). Reviewer: Yaping Liu (Pittsburg) MSC: 35J55 35B25 35B33 35D05 35J70 PDFBibTeX XMLCite \textit{O. H. Miyagaki} and \textit{R. S. Rodrigues}, Houston J. Math. 34, No. 4, 1271--1293 (2008; Zbl 1162.35025) Full Text: Link
Assunção, R. B.; Carrião, P. C.; Miyagaki, O. H. Multiplicity results for equations with subcritical Hardy-Sobolev exponent and singularities on a half-space. (English) Zbl 1155.35039 Mat. Contemp. 32, 25-37 (2007). Reviewer: Ramzet M. Dzhafarov (Donetsk) MSC: 35J65 PDFBibTeX XMLCite \textit{R. B. Assunção} et al., Mat. Contemp. 32, 25--37 (2007; Zbl 1155.35039)
Miyagaki, O. H.; Rodrigues, R. S. On positive solutions for a class of singular quasilinear elliptic systems. (English) Zbl 1155.35024 J. Math. Anal. Appl. 334, No. 2, 818-833 (2007). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35J55 35D05 35J60 PDFBibTeX XMLCite \textit{O. H. Miyagaki} and \textit{R. S. Rodrigues}, J. Math. Anal. Appl. 334, No. 2, 818--833 (2007; Zbl 1155.35024) Full Text: DOI Link
Assunção, R. B.; Carrião, P. C.; Miyagaki, O. H. An existence result for a class of singular problems with critical exponents. (English) Zbl 1156.35047 Agarwal, Ravi P. (ed.) et al., Proceedings of the international conference on differential and difference equations and their applications, Melbourne, FL, USA, August 1–5, 2005. New York: Hindawi Publishing Corporation (ISBN 977-5945-38-0/hbk). 131-140 (2006). Reviewer: Zhilin Yang (Qingdao) MSC: 35J70 35J20 35J65 PDFBibTeX XMLCite \textit{R. B. Assunção} et al., in: Proceedings of the international conference on differential and difference equations and their applications, Melbourne, FL, USA, August 1--5, 2005. New York: Hindawi Publishing Corporation. 131--140 (2006; Zbl 1156.35047)
Abreu, Emerson A. M.; Carrião, Paulo Cesar; Miyagaki, Olimpio Hiroshi Remarks on a class of Neumann problems involving critical exponents. (English) Zbl 1193.35071 Cazenave, Thierry (ed.) et al., Contributions to nonlinear analysis. A tribute to D. G. de Figueiredo on the occasion of his 70th birthday. Basel: Birkhäuser (ISBN 3-7643-7149-8/hbk). Progress in Nonlinear Differential Equations and their Applications 66, 1-15 (2006). MSC: 35J65 35J20 35B33 35B38 35J60 47J30 PDFBibTeX XMLCite \textit{E. A. M. Abreu} et al., Prog. Nonlinear Differ. Equ. Appl. 66, 1--15 (2006; Zbl 1193.35071) Full Text: DOI
Abreu, Emerson A. M.; Carrião, Paulo C.; Miyagaki, Olímpio H. Multiplicity of solutions for a convex-concave problem with a nonlinear boundary condition. (English) Zbl 1163.35317 Adv. Nonlinear Stud. 6, No. 1, 133-148 (2006). MSC: 35B33 35J20 35J60 35J65 PDFBibTeX XMLCite \textit{E. A. M. Abreu} et al., Adv. Nonlinear Stud. 6, No. 1, 133--148 (2006; Zbl 1163.35317) Full Text: DOI
de Figueiredo, Djairo Guedes; Miyagaki, Olímpio Hiroshi Multiplicity of non-radial solutions of critical elliptic problems in an annulus. (English) Zbl 1172.35399 Proc. R. Soc. Edinb., Sect. A, Math. 135, No. 1, 25-37 (2005). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35J60 35B33 35B38 35J25 47J30 PDFBibTeX XMLCite \textit{D. G. de Figueiredo} and \textit{O. H. Miyagaki}, Proc. R. Soc. Edinb., Sect. A, Math. 135, No. 1, 25--37 (2005; Zbl 1172.35399) Full Text: DOI
de Abreu, Emerson A. M.; Miyagaki, Olímpio Hiroshi A Robin problem for a class of quasilinear operators and a related minimizing problem. (English) Zbl 1134.34308 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 59, No. 1-2, 21-34 (2004). MSC: 34B15 35J20 35J60 47J30 PDFBibTeX XMLCite \textit{E. A. M. de Abreu} and \textit{O. H. Miyagaki}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 59, No. 1--2, 21--34 (2004; Zbl 1134.34308) Full Text: DOI Link
Alves, C. O.; de Morais Filho, D. C.; Miyagaki, O. H. Multiple solutions for an elliptic system on bounded and unbounded domains. (English) Zbl 1187.35059 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 56, No. 4, 555-568 (2004). MSC: 35J56 58E05 PDFBibTeX XMLCite \textit{C. O. Alves} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 56, No. 4, 555--568 (2004; Zbl 1187.35059) Full Text: DOI
Alves, C. O.; Carrião, P. C.; Miyagaki, O. H. Nontrivial solutions of a class of quasilinear elliptic problems involving critical exponents. (English) Zbl 1055.34028 Lupo, Daniela (ed.) et al., Nonlinear equations: methods, models and applications. Based on the workshop on nonlinear analysis and applications, Bergamo, Italy, July 9–13, 2001. Basel: Birkhäuser (ISBN 3-7643-0398-0/hbk). Prog. Nonlinear Differ. Equ. Appl. 54, 225-238 (2003). Reviewer: Messoud A. Efendiev (Berlin) MSC: 34B15 PDFBibTeX XMLCite \textit{C. O. Alves} et al., Prog. Nonlinear Differ. Equ. Appl. 54, 225--238 (2003; Zbl 1055.34028)
Alves, C. O.; Marcos do Ó, João; Miyagaki, O. H. On a class of singular biharmonic problems involving critical exponents. (English) Zbl 1091.35023 J. Math. Anal. Appl. 277, No. 1, 12-26 (2003). MSC: 35J40 35B33 35J60 47J30 PDFBibTeX XMLCite \textit{C. O. Alves} et al., J. Math. Anal. Appl. 277, No. 1, 12--26 (2003; Zbl 1091.35023) Full Text: DOI
Alves, Claudianor Oliveira; Carrião, Paulo César; Miyagaki, Olímpio Hiroshi On the existence of positive solutions of a perturbed Hamiltonian system in \({\mathbb R}^N\). (English) Zbl 1056.35060 J. Math. Anal. Appl. 276, No. 2, 673-690 (2002). MSC: 35J50 47J30 58E05 35J55 35J60 PDFBibTeX XMLCite \textit{C. O. Alves} et al., J. Math. Anal. Appl. 276, No. 2, 673--690 (2002; Zbl 1056.35060) Full Text: DOI
Carrião, Paulo Cesar; Miyagaki, Olímpio Hiroshi Existence of non-trivial solutions of elliptic variational systems in unbounded domains. (English) Zbl 1013.35029 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 51, No. 1, 155-169 (2002). Reviewer: N.Weck (Essen) MSC: 35J55 35B33 PDFBibTeX XMLCite \textit{P. C. Carrião} and \textit{O. H. Miyagaki}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 51, No. 1, 155--169 (2002; Zbl 1013.35029) Full Text: DOI
Carrião, Paulo Cesar; Miyagaki, Olimpío Hiroshi On a class of variational systems in unbounded domains. (English) Zbl 1301.35025 Discrete Contin. Dyn. Syst. 2001, Suppl., 74-79 (2001). MSC: 35J35 35J50 35J58 PDFBibTeX XMLCite \textit{P. C. Carrião} and \textit{O. H. Miyagaki}, Discrete Contin. Dyn. Syst. 2001, 74--79 (2001; Zbl 1301.35025) Full Text: Link
Alves, C. O.; Marcos do Ó, João; Miyagaki, O. H. On perturbations of a class of a periodic \(m\)-Laplacian equation with critical growth. (English) Zbl 1018.35029 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 45, No. 7, 849-863 (2001). MSC: 35J60 35J65 35B05 35B20 35J70 PDFBibTeX XMLCite \textit{C. O. Alves} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 45, No. 7, 849--863 (2001; Zbl 1018.35029) Full Text: DOI
de Figueiredo, D. G.; Gonçalves, J. V.; Miyagaki, O. H. On a class of quasilinear elliptic problems involving critical exponents. (English) Zbl 0955.35027 Commun. Contemp. Math. 2, No. 1, 47-59 (2000). MSC: 35J65 35B33 35B05 35A15 PDFBibTeX XMLCite \textit{D. G. de Figueiredo} et al., Commun. Contemp. Math. 2, No. 1, 47--59 (2000; Zbl 0955.35027) Full Text: DOI
Alves, C. O.; Carrião, P. C.; Miyagaki, O. H. Multiple solutions for a problem with resonance involving the \(p\)-Laplacian. (English) Zbl 0968.35047 Abstr. Appl. Anal. 3, No. 1-2, 191-201 (1998). MSC: 35J65 35A15 35A05 35J25 PDFBibTeX XMLCite \textit{C. O. Alves} et al., Abstr. Appl. Anal. 3, No. 1--2, 191--201 (1998; Zbl 0968.35047) Full Text: DOI EuDML Link
de Mendonça Xavier, João Batista; Miyagaki, Olimpio Hiroshi Remarks on a resonant problem with an unbounded nonlinearity. (English) Zbl 0878.35046 J. Math. Anal. Appl. 209, No. 1, 255-273 (1997). Reviewer: J.Hernandez (Madrid) MSC: 35J65 58E05 35P30 PDFBibTeX XMLCite \textit{J. B. de Mendonça Xavier} and \textit{O. H. Miyagaki}, J. Math. Anal. Appl. 209, No. 1, 255--273 (1997; Zbl 0878.35046) Full Text: DOI
Alves, C. O.; Goncalves, J. V.; Miyagaki, O. H. On elliptic equations in \(\mathbb R^ N\) with critical exponents. (English) Zbl 0854.35037 Electron. J. Differ. Equ. 1996, No. 9, 11 p. (1996). MSC: 35J65 35J20 PDFBibTeX XML Full Text: EuDML EMIS
de Figueiredo, D. G.; Miyagaki, O. H.; Ruf, B. Corrigendum: Elliptic equations in \(\mathbb{R}^ 2\) with nonlinearities in the critical growth range. (English) Zbl 0847.35048 Calc. Var. Partial Differ. Equ. 4, No. 2, 203 (1996). MSC: 35J65 35J20 49K20 PDFBibTeX XMLCite \textit{D. G. de Figueiredo} et al., Calc. Var. Partial Differ. Equ. 4, No. 2, 203 (1996; Zbl 0847.35048)
Costa, David G.; Miyagaki, Olimpio H. Nontrivial solutions for perturbations of the \(p\)-Laplacian on unbounded domains. (English) Zbl 0856.35040 J. Math. Anal. Appl. 193, No. 3, 737-755 (1995). Reviewer: J.Fleckinger (Toulouse) MSC: 35J60 35J20 35J65 PDFBibTeX XMLCite \textit{D. G. Costa} and \textit{O. H. Miyagaki}, J. Math. Anal. Appl. 193, No. 3, 737--755 (1995; Zbl 0856.35040) Full Text: DOI
de Figueiredo, D. G.; Miyagaki, O. H.; Ruf, B. Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range. (English) Zbl 0820.35060 Calc. Var. Partial Differ. Equ. 3, No. 2, 139-153 (1995). Reviewer: H.-Ch.Grunau (Bayreuth) MSC: 35J65 35J20 49K20 PDFBibTeX XMLCite \textit{D. G. de Figueiredo} et al., Calc. Var. Partial Differ. Equ. 3, No. 2, 139--153 (1995; Zbl 0820.35060) Full Text: DOI
Gonçalves, J. V. A.; Miyagaki, O. H. Three solutions for a strongly resonant elliptic problem. (English) Zbl 0821.35052 Nonlinear Anal., Theory Methods Appl. 24, No. 2, 265-272 (1995). Reviewer: G.Hetzer (Auburn) MSC: 35J65 35J20 PDFBibTeX XMLCite \textit{J. V. A. Gonçalves} and \textit{O. H. Miyagaki}, Nonlinear Anal., Theory Methods Appl. 24, No. 2, 265--272 (1995; Zbl 0821.35052) Full Text: DOI
Gonçalves, J. V. A.; Miyagaki, O. H. Multiple nontrivial solutions of semilinear strongly resonant elliptic equations. (English) Zbl 0784.35032 Nonlinear Anal., Theory Methods Appl. 19, No. 1, 43-52 (1992). Reviewer: L.Recke (Berlin) MSC: 35J65 35J20 PDFBibTeX XMLCite \textit{J. V. A. Gonçalves} and \textit{O. H. Miyagaki}, Nonlinear Anal., Theory Methods Appl. 19, No. 1, 43--52 (1992; Zbl 0784.35032) Full Text: DOI
Gonçalves, J. V. A.; Miyagaki, O. H. Multiplicity results for semilinear elliptic equations at resonance. (English) Zbl 0765.35019 Applied mathematics for engineering sciences, Proc. 2nd Fr.-Chil. Symp., Santiago de Chile/Chile 1989, 223-229 (1991). Reviewer: N.Weck (Essen) MSC: 35J65 35J20 35P30 35J25 PDFBibTeX XMLCite \textit{J. V. A. Gonçalves} and \textit{O. H. Miyagaki}, in: Applied mathematics for engineering sciences. 2nd French-Chilean symposium of applied mathematics, held in Santiago de Chile, 4-8 December 1989. Mathématiques appliquées aux sciences de l'ingenieur. 2e colloque franco-chilien de mathématiques appliquées, Santiago du Chili, du 4 au 8 décembre 1989. Toulouse: Cépaduès-Éditions. 223--229 (1991; Zbl 0765.35019)
Goncalves, J. V. A.; Miyagaki, O. H. Existence of nontrivial solutions for semilinear elliptic equations at resonance. (English) Zbl 0731.35038 Houston J. Math. 16, No. 4, 583-595 (1990). Reviewer: M.Fuchs (Darmstadt) MSC: 35J65 58E05 PDFBibTeX XMLCite \textit{J. V. A. Goncalves} and \textit{O. H. Miyagaki}, Houston J. Math. 16, No. 4, 583--595 (1990; Zbl 0731.35038)