Carvalho, J. L.; Furtado, M. F.; Medeiros, E. S. Embedding theorems for weighted Sobolev spaces in a borderline case and applications. (English) Zbl 07785706 Ann. Mat. Pura Appl. (4) 203, No. 1, 345-359 (2024). MSC: 35J62 35J25 46E35 PDFBibTeX XMLCite \textit{J. L. Carvalho} et al., Ann. Mat. Pura Appl. (4) 203, No. 1, 345--359 (2024; Zbl 07785706) Full Text: DOI
Albuquerque, Francisco S. B.; Carvalho, Jonison L.; Furtado, Marcelo F.; Medeiros, Everaldo S. A planar Schrödinger-Poisson system with vanishing potentials and exponential critical growth. (English) Zbl 07818624 Topol. Methods Nonlinear Anal. 62, No. 1, 159-180 (2023). MSC: 35J47 35J61 35A01 35A15 PDFBibTeX XMLCite \textit{F. S. B. Albuquerque} et al., Topol. Methods Nonlinear Anal. 62, No. 1, 159--180 (2023; Zbl 07818624) Full Text: DOI Link
Furtado, Marcelo F.; Sousa, Karla C. V. Indefinite planar problem with exponential critical growth. (English) Zbl 1490.35180 J. Convex Anal. 29, No. 2, 361-370 (2022). MSC: 35J91 35J05 35A01 35A15 PDFBibTeX XMLCite \textit{M. F. Furtado} and \textit{K. C. V. Sousa}, J. Convex Anal. 29, No. 2, 361--370 (2022; Zbl 1490.35180) Full Text: Link
Ferreira, L. C. F.; Furtado, M. F.; Medeiros, E. S.; da Silva, J. P. P. On a weighted trace embedding and applications to critical boundary problems. (English) Zbl 1523.35016 Math. Nachr. 294, No. 5, 877-899 (2021). MSC: 35A23 35J25 35J65 35K20 46E35 PDFBibTeX XMLCite \textit{L. C. F. Ferreira} et al., Math. Nachr. 294, No. 5, 877--899 (2021; Zbl 1523.35016) Full Text: DOI
Carvalho, J. L.; Figueiredo, G. M.; Furtado, M. F.; Medeiros, E. On a zero-mass \((N,q)\)-Laplacian equation in \(\mathbb{R}^N\) with exponential critical growth. (English) Zbl 1473.35310 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 213, Article ID 112488, 14 p. (2021). MSC: 35J92 35B33 35A01 35A15 PDFBibTeX XMLCite \textit{J. L. Carvalho} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 213, Article ID 112488, 14 p. (2021; Zbl 1473.35310) Full Text: DOI
Furtado, Marcelo Fernandes; de Sousa, Karla Carolina Vicente Multiplicity of solutions for a nonlinear boundary value problem in the upper half-space. (English) Zbl 1454.35150 J. Math. Anal. Appl. 493, No. 2, Article ID 124544, 21 p. (2021). MSC: 35J61 35J25 35A01 PDFBibTeX XMLCite \textit{M. F. Furtado} and \textit{K. C. V. de Sousa}, J. Math. Anal. Appl. 493, No. 2, Article ID 124544, 21 p. (2021; Zbl 1454.35150) Full Text: DOI
Furtado, Marcelo F.; Silva, Edcarlos D.; Severo, Uberlandio B. Kirchhoff elliptic problems with asymptotically linear or superlinear nonlinearities. (English) Zbl 1454.35166 Z. Angew. Math. Phys. 71, No. 6, Paper No. 186, 17 p. (2020). MSC: 35J62 35J50 35A01 PDFBibTeX XMLCite \textit{M. F. Furtado} et al., Z. Angew. Math. Phys. 71, No. 6, Paper No. 186, 17 p. (2020; Zbl 1454.35166) Full Text: DOI
Furtado, Marcelo F.; Silva, Edcarlos D.; Silva, Maxwell L. Soliton solutions for a generalized quasilinear elliptic problem. (English) Zbl 1448.35218 Potential Anal. 53, No. 3, 1097-1122 (2020). MSC: 35J62 35A01 35J20 PDFBibTeX XMLCite \textit{M. F. Furtado} et al., Potential Anal. 53, No. 3, 1097--1122 (2020; Zbl 1448.35218) Full Text: DOI
Figueiredo, Giovany M.; Furtado, Marcelo F.; Da Silva, João Pablo P. Existence and multiplicity of positive solutions for a fourth-order elliptic equation. (English) Zbl 1437.35387 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 2, 1053-1069 (2020). MSC: 35J91 35J30 35J35 PDFBibTeX XMLCite \textit{G. M. Figueiredo} et al., Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 2, 1053--1069 (2020; Zbl 1437.35387) Full Text: DOI
Figueiredo, Giovany M.; Furtado, Marcelo F.; Ruviaro, Ricardo Nodal solution for a planar problem with fast increasing weights. (English) Zbl 1437.35388 Topol. Methods Nonlinear Anal. 54, No. 2A, 793-805 (2019). MSC: 35J91 35A01 35A15 PDFBibTeX XMLCite \textit{G. M. Figueiredo} et al., Topol. Methods Nonlinear Anal. 54, No. 2A, 793--805 (2019; Zbl 1437.35388) Full Text: DOI Euclid
Batista, Alex M.; Furtado, Marcelo F. Solutions for a Schrödinger-Kirchhoff equation with indefinite potentials. (English) Zbl 1394.35179 Milan J. Math. 86, No. 1, 1-14 (2018). MSC: 35J60 PDFBibTeX XMLCite \textit{A. M. Batista} and \textit{M. F. Furtado}, Milan J. Math. 86, No. 1, 1--14 (2018; Zbl 1394.35179) Full Text: DOI
Batista, Alex M.; Furtado, Marcelo F. Positive and nodal solutions for a nonlinear Schrödinger-Poisson system with sign-changing potentials. (English) Zbl 1379.35060 Nonlinear Anal., Real World Appl. 39, 142-156 (2018). MSC: 35J05 35J10 35J20 35B09 PDFBibTeX XMLCite \textit{A. M. Batista} and \textit{M. F. Furtado}, Nonlinear Anal., Real World Appl. 39, 142--156 (2018; Zbl 1379.35060) Full Text: DOI
Furtado, Marcelo F.; Silva, Edcarlos D. Nonquadraticity condition on superlinear problems. (English) Zbl 1334.35034 Carvalho, Alexandre N. (ed.) et al., Contributions to nonlinear elliptic equations and systems. A tribute to Djairo Guedes de Figueiredo on the occasion of his 80th birthday. Cham: Birkhäuser/Springer (ISBN 978-3-319-19901-6/hbk; 978-3-319-19902-3/ebook). Progress in Nonlinear Differential Equations and Their Applications 86, 245-255 (2015). MSC: 35J25 35J61 PDFBibTeX XMLCite \textit{M. F. Furtado} and \textit{E. D. Silva}, Prog. Nonlinear Differ. Equ. Appl. 86, 245--255 (2015; Zbl 1334.35034) Full Text: DOI
Figueiredo, Giovany M.; Furtado, Marcelo F. Positive solutions for a quasilinear Schrödinger equation with critical growth. (English) Zbl 1244.35045 J. Dyn. Differ. Equations 24, No. 1, 13-28 (2012). Reviewer: Marius Ghergu (Dublin) MSC: 35J50 35B33 58E05 35B09 PDFBibTeX XMLCite \textit{G. M. Figueiredo} and \textit{M. F. Furtado}, J. Dyn. Differ. Equations 24, No. 1, 13--28 (2012; Zbl 1244.35045) Full Text: DOI
Furtado, Marcelo F.; da Silva, João Pablo P. Multiplicity of solutions for homogeneous elliptic systems with critical growth. (English) Zbl 1229.35061 J. Math. Anal. Appl. 385, No. 2, 770-785 (2012). MSC: 35J47 58E05 35J20 PDFBibTeX XMLCite \textit{M. F. Furtado} and \textit{J. P. P. da Silva}, J. Math. Anal. Appl. 385, No. 2, 770--785 (2012; Zbl 1229.35061) Full Text: DOI arXiv
Alves, Claudianor O.; Figueiredo, Giovany M.; Furtado, Marcelo F. On the number of solutions of NLS equations with magnetics fields in expanding domains. (English) Zbl 1234.35236 J. Differ. Equations 251, No. 9, 2534-2548 (2011). MSC: 35Q55 35A15 35H30 35D30 PDFBibTeX XMLCite \textit{C. O. Alves} et al., J. Differ. Equations 251, No. 9, 2534--2548 (2011; Zbl 1234.35236) Full Text: DOI
Furtado, Marcelo F.; Myiagaki, Olímpio H.; da Silva, João Pablo P. On a class of nonlinear elliptic equations with fast increasing weight and critical growth. (English) Zbl 1193.35044 J. Differ. Equations 249, No. 5, 1035-1055 (2010). MSC: 35J60 35B09 35J20 PDFBibTeX XMLCite \textit{M. F. Furtado} et al., J. Differ. Equations 249, No. 5, 1035--1055 (2010; Zbl 1193.35044) Full Text: DOI
Figueiredo, Giovany M.; Furtado, Marcelo F. Positive solutions for some quasilinear equations with critical and supercritical growth. (English) Zbl 1162.35029 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 7, 1600-1616 (2007). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35J60 35B25 35J20 47J30 PDFBibTeX XMLCite \textit{G. M. Figueiredo} and \textit{M. F. Furtado}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 7, 1600--1616 (2007; Zbl 1162.35029) Full Text: DOI
Figueiredo, Giovany M.; Furtado, Marcelo F. Multiplicity of positive solutions for a class of elliptic equations in divergence form. (English) Zbl 1160.35402 J. Math. Anal. Appl. 321, No. 2, 705-721 (2006). MSC: 35J60 35B25 35J20 47J30 58E05 PDFBibTeX XMLCite \textit{G. M. Figueiredo} and \textit{M. F. Furtado}, J. Math. Anal. Appl. 321, No. 2, 705--721 (2006; Zbl 1160.35402) Full Text: DOI
Furtado, Marcelo F. A note on the number of nodal solutions of an elliptic equation with symmetry. (English) Zbl 1108.35058 Appl. Math. Lett. 19, No. 4, 326-331 (2006). MSC: 35J60 35A30 35J25 47J30 58E05 PDFBibTeX XMLCite \textit{M. F. Furtado}, Appl. Math. Lett. 19, No. 4, 326--331 (2006; Zbl 1108.35058) Full Text: DOI
Furtado, Marcelo F. Multiplicity of nodal solutions for a critical quasilinear equation with symmetry. (English) Zbl 1108.35057 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 8, 1153-1166 (2005). MSC: 35J60 35J25 47J30 58E05 PDFBibTeX XMLCite \textit{M. F. Furtado}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 8, 1153--1166 (2005; Zbl 1108.35057) Full Text: DOI
Furtado, Marcelo F. A relation between the domain topology and the number of minimal nodal solutions for a quasilinear elliptic problem. (English) Zbl 1109.35043 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 62, No. 4, 615-628 (2005). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35J60 35J25 47J30 58E05 PDFBibTeX XMLCite \textit{M. F. Furtado}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 62, No. 4, 615--628 (2005; Zbl 1109.35043) Full Text: DOI
Furtado, Marcelo F. Multiple minimal nodal solutions for a quasilinear Schrödinger equation with symmetric potential. (English) Zbl 1134.35335 J. Math. Anal. Appl. 304, No. 1, 170-188 (2005). MSC: 35J60 35J20 47J30 PDFBibTeX XMLCite \textit{M. F. Furtado}, J. Math. Anal. Appl. 304, No. 1, 170--188 (2005; Zbl 1134.35335) Full Text: DOI