Costa, Augusto C. R.; Miyagaki, Olimpio H.; Pereira, Fabio R. On a nonlocal elliptic system of Hardy-Kirchhoff type with critical exponents. (English) Zbl 07781155 Math. Methods Appl. Sci. 46, No. 1, 798-810 (2023). MSC: 35J62 35R11 35A01 35A15 PDFBibTeX XMLCite \textit{A. C. R. Costa} et al., Math. Methods Appl. Sci. 46, No. 1, 798--810 (2023; Zbl 07781155) Full Text: DOI
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
de S. Böer, Eduardo; Miyagaki, Olímpio H.; Pucci, Patrizia Existence and multiplicity results for a class of Kirchhoff-Choquard equations with a generalized sign-changing potential. (English) Zbl 1512.35292 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 33, No. 3, 651-675 (2022). MSC: 35J62 35J15 35A01 PDFBibTeX XMLCite \textit{E. de S. Böer} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 33, No. 3, 651--675 (2022; Zbl 1512.35292) Full Text: DOI arXiv
Costa, Augusto C. R.; Figueiredo, Giovany M.; Miyagaki, Olimpio H. Existence of positive solutions for a critical nonlocal elliptic system. (English) Zbl 1505.35157 J. Convex Anal. 29, No. 4, 1083-1117 (2022). MSC: 35J50 35J62 35R11 35A01 PDFBibTeX XMLCite \textit{A. C. R. Costa} et al., J. Convex Anal. 29, No. 4, 1083--1117 (2022; Zbl 1505.35157) Full Text: Link
Carrião, Paulo C.; Miyagaki, Olímpio H.; Vicente, André Normalized solutions of Kirchhoff equations with critical and subcritical nonlinearities: the defocusing case. (English) Zbl 1500.35161 SN Partial Differ. Equ. Appl. 3, No. 5, Paper No. 64, 16 p. (2022). MSC: 35J62 35B33 35A01 PDFBibTeX XMLCite \textit{P. C. Carrião} et al., SN Partial Differ. Equ. Appl. 3, No. 5, Paper No. 64, 16 p. (2022; Zbl 1500.35161) Full Text: DOI
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
Miyagaki, Olímpio H.; Moreira, Sandra I.; Vieira, Rônei S. Schrödinger equations involving fractional \(p\)-Laplacian with supercritical exponent. (English) Zbl 1489.35114 Complex Var. Elliptic Equ. 67, No. 5, 1273-1286 (2022). MSC: 35J62 35R11 35A01 35A15 PDFBibTeX XMLCite \textit{O. H. Miyagaki} et al., Complex Var. Elliptic Equ. 67, No. 5, 1273--1286 (2022; Zbl 1489.35114) Full Text: DOI
Bhakta, Mousomi; Chakraborty, Souptik; Miyagaki, Olimpio H.; Pucci, Patrizia Fractional elliptic systems with critical nonlinearities. (English) Zbl 1476.35296 Nonlinearity 34, No. 11, 7540-7573 (2021). MSC: 35R11 35A15 35B33 35J47 35J61 PDFBibTeX XMLCite \textit{M. Bhakta} et al., Nonlinearity 34, No. 11, 7540--7573 (2021; Zbl 1476.35296) Full Text: DOI arXiv
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
Carrião, Paulo Cesar; dos Reis Costa, Augusto César; Miyagaki, Olimpio Hiroshi; Vicente, André Kirchhoff-type problems with critical Sobolev exponent in a hyperbolic space. (English) Zbl 1467.58010 Electron. J. Differ. Equ. 2021, Paper No. 53, 12 p. (2021). Reviewer: Mohammad Sadegh Shahrokhi-Dehkordi (Tehran) MSC: 58E30 35R01 35J60 35B33 PDFBibTeX XMLCite \textit{P. C. Carrião} et al., Electron. J. Differ. Equ. 2021, Paper No. 53, 12 p. (2021; Zbl 1467.58010) Full Text: Link
de S. Böer, Eduardo; Miyagaki, Olímpio H. Existence and multiplicity of solutions for the fractional \(p\)-Laplacian Choquard logarithmic equation involving a nonlinearity with exponential critical and subcritical growth. (English) Zbl 1465.35391 J. Math. Phys. 62, No. 5, Article ID 051507, 20 p. (2021). MSC: 35R11 35J92 PDFBibTeX XMLCite \textit{E. de S. Böer} and \textit{O. H. Miyagaki}, J. Math. Phys. 62, No. 5, Article ID 051507, 20 p. (2021; Zbl 1465.35391) Full Text: DOI arXiv
Costa, Augusto C. R.; Maia, Bráulio B. V.; Miyagaki, Olímpio H. Existence and concentration of solutions for a class of elliptic Kirchhoff-Schrödinger equations with subcritical and critical growth. (English) Zbl 1466.35158 Milan J. Math. 88, No. 2, 385-407 (2020). MSC: 35J60 35R11 35A01 35A15 PDFBibTeX XMLCite \textit{A. C. R. Costa} et al., Milan J. Math. 88, No. 2, 385--407 (2020; Zbl 1466.35158) Full Text: DOI
Bonaldo, L. M. M.; Hurtado, E. J.; Miyagaki, O. H. A class of elliptic equations involving nonlocal integrodifferential operators with sign-changing weight functions. (English) Zbl 1467.35162 J. Math. Phys. 61, No. 5, 051503, 26 p. (2020). Reviewer: Yang Yang (Wuxi) MSC: 35J67 35R11 35A01 35A15 PDFBibTeX XMLCite \textit{L. M. M. Bonaldo} et al., J. Math. Phys. 61, No. 5, 051503, 26 p. (2020; Zbl 1467.35162) Full Text: DOI arXiv
Assunção, Ronaldo B.; Silva, Jeferson C.; Miyagaki, Olímpio H. A fractional \(p\)-Laplacian problem with multiple critical Hardy-Sobolev nonlinearities. (English) Zbl 1442.35162 Milan J. Math. 88, No. 1, 65-97 (2020). MSC: 35J92 35A15 PDFBibTeX XMLCite \textit{R. B. Assunção} et al., Milan J. Math. 88, No. 1, 65--97 (2020; Zbl 1442.35162) Full Text: DOI arXiv
Carrião, Paulo Cesar; Costa, Augusto César Dos Reis; Miyagaki, Olimpio Hiroshi A class of critical Kirchhoff problem on the hyperbolic space \(\mathbb{H}^n\). (English) Zbl 1435.58002 Glasg. Math. J. 62, No. 1, 109-122 (2020). Reviewer: Leszek Gasiński (Kraków) MSC: 58J05 35R01 35J60 35B33 PDFBibTeX XMLCite \textit{P. C. Carrião} et al., Glasg. Math. J. 62, No. 1, 109--122 (2020; Zbl 1435.58002) Full Text: DOI
Miyagaki, Olímpio H.; Pucci, Patrizia Nonlocal Kirchhoff problems with Trudinger – Moser critical nonlinearities. (English) Zbl 1422.35054 NoDEA, Nonlinear Differ. Equ. Appl. 26, No. 4, Paper No. 27, 26 p. (2019). MSC: 35J60 35B33 35R11 PDFBibTeX XMLCite \textit{O. H. Miyagaki} and \textit{P. Pucci}, NoDEA, Nonlinear Differ. Equ. Appl. 26, No. 4, Paper No. 27, 26 p. (2019; Zbl 1422.35054) Full Text: DOI
Assunção, R. B.; Miyagaki, O. H.; Paes-Leme, L. C.; Rodrigues, B. M. Existence and multiplicity results for an elliptic problem involving cylindrical weights and a homogeneous term \(\mu \). (English) Zbl 1418.35174 Mediterr. J. Math. 16, No. 2, Paper No. 33, 20 p. (2019). MSC: 35J62 35A01 PDFBibTeX XMLCite \textit{R. B. Assunção} et al., Mediterr. J. Math. 16, No. 2, Paper No. 33, 20 p. (2019; Zbl 1418.35174) Full Text: DOI
Miyagaki, O. H.; Paes-Leme, L. C.; Mendes Rodrigues, Bruno Multiplicity of positive solutions for the Kirchhoff-type equations with critical exponent in \(\mathbb R^N\). (English) Zbl 1415.35128 Comput. Math. Appl. 75, No. 9, 3201-3212 (2018). MSC: 35J60 35A16 35B33 35J20 PDFBibTeX XMLCite \textit{O. H. Miyagaki} et al., Comput. Math. Appl. 75, No. 9, 3201--3212 (2018; Zbl 1415.35128) 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
Faria, Luiz F. O.; Miyagaki, Olimpio H.; Tanaka, Mieko Existence of a positive solution for problems with \((p,q)\)-Laplacian and convection term in \(\mathbb R^N\). (English) Zbl 1347.35122 Bound. Value Probl. 2016, Paper No. 158, 20 p. (2016). MSC: 35J92 35B51 35B50 35B09 35A16 PDFBibTeX XMLCite \textit{L. F. O. Faria} et al., Bound. Value Probl. 2016, Paper No. 158, 20 p. (2016; Zbl 1347.35122) Full Text: DOI
Miyagaki, Olímpio H.; Moreira, Sandra Im.; Pucci, Patrizia Multiplicity of nonnegative solutions for quasilinear Schrödinger equations. (English) Zbl 1330.35409 J. Math. Anal. Appl. 434, No. 1, 939-955 (2016). MSC: 35Q55 35B33 35D30 35A18 PDFBibTeX XMLCite \textit{O. H. Miyagaki} et al., J. Math. Anal. Appl. 434, No. 1, 939--955 (2016; Zbl 1330.35409) Full Text: DOI
Alves, M. J.; Assunção, R. B.; Miyagaki, O. H. Existence result for a class of quasilinear elliptic equations with (\(p\)-\(q\))-Laplacian and vanishing potentials. (English) Zbl 1352.35061 Ill. J. Math. 59, No. 3, 545-575 (2015). MSC: 35J92 35J20 35J10 35B09 35B38 35B45 PDFBibTeX XMLCite \textit{M. J. Alves} et al., Ill. J. Math. 59, No. 3, 545--575 (2015; Zbl 1352.35061) Full Text: arXiv Euclid
Bastos, Waldemar D.; Miyagaki, Olimpio H.; Vieira, Rônei S. Positive solution for a class of degenerate quasilinear elliptic equations in \(\mathbb R^N\). (English) Zbl 1304.35245 Milan J. Math. 82, No. 2, 213-231 (2014). MSC: 35J20 35B09 35J10 35J70 PDFBibTeX XMLCite \textit{W. D. Bastos} et al., Milan J. Math. 82, No. 2, 213--231 (2014; Zbl 1304.35245) 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
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
Guedes de Figueiredo, Djairo; Moreira dos Santos, Ederson; Miyagaki, Olímpio Hiroshi Critical hyperbolas and multiple symmetric solutions to some strongly coupled elliptic systems. (English) Zbl 1277.35160 Adv. Nonlinear Stud. 13, No. 2, 359-371 (2013). MSC: 35J47 49J40 47J20 35J30 46E35 PDFBibTeX XMLCite \textit{D. Guedes de Figueiredo} et al., Adv. Nonlinear Stud. 13, No. 2, 359--371 (2013; Zbl 1277.35160) 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
Bezerra do Ó, João M.; Miyagaki, Olímpio H.; Soares, Sérgio H. M. Soliton solutions for quasilinear Schrödinger equations with critical growth. (English) Zbl 1182.35205 J. Differ. Equations 248, No. 4, 722-744 (2010). MSC: 35Q55 35J60 35B33 35C08 PDFBibTeX XMLCite \textit{J. M. Bezerra do Ó} et al., J. Differ. Equations 248, No. 4, 722--744 (2010; Zbl 1182.35205) Full Text: DOI Link
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
Alves, C. O.; Marcos do Ó, João; Miyagaki, O. H. Nontrivial solutions for a class of semilinear biharmonic problems involving critical exponents. (English) Zbl 1108.35330 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 46, No. 1, 121-133 (2001). MSC: 35J60 35B33 49J53 PDFBibTeX XMLCite \textit{C. O. Alves} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 46, No. 1, 121--133 (2001; Zbl 1108.35330) 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