Anello, Giovanni; Cammaroto, Filippo; Vilasi, Luca Non-negative solutions and strong maximum principle for a resonant quasilinear problem. (English) Zbl 07932542 Rev. Mat. Complut. 37, No. 3, 801-818 (2024). MSC: 35J92 35J25 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Eloe, P. W.; Neugebauer, J. T. Maximum and anti-maximum principles for boundary value problems for ordinary differential equations in neighborhoods of simple eigenvalues. (English) Zbl 07814870 Nonlinear Dyn. Syst. Theory 23, No. 5, 507-518 (2023). MSC: 34B09 34L15 34B18 × Cite Format Result Cite Review PDF Full Text: Link
Eloe, Paul W.; Neugebauer, Jeffrey T. Maximum, anti-maximum principles and monotone methods for boundary value problems for Riemann-Liouville fractional differential equations in neighborhoods of simple eigenvalues. (English) Zbl 1518.34023 Cubo 25, No. 2, 251-272 (2023). MSC: 34B08 34B18 34B27 34L15 × Cite Format Result Cite Review PDF Full Text: DOI
Bobkov, Vladimir; Tanaka, Mieko On the antimaximum principle for the \(p\)-Laplacian and its sublinear perturbations. (English) Zbl 1518.35397 SN Partial Differ. Equ. Appl. 4, No. 3, Paper No. 21, 38 p. (2023). MSC: 35J92 35J25 35B50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Moreira dos Santos, Ederson; Nornberg, Gabrielle; Schiera, Delia; Tavares, Hugo Principal spectral curves for Lane-Emden fully nonlinear type systems and applications. (English) Zbl 1509.35169 Calc. Var. Partial Differ. Equ. 62, No. 2, Paper No. 49, 38 p. (2023). Reviewer: Vladimir Bobkov (Ufa) MSC: 35P30 35B50 35D40 35J57 35J60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Anoop, Thazhe Veetil; Biswas, Nirjan On global bifurcation for the nonlinear Steklov problems. (English) Zbl 1495.35020 Topol. Methods Nonlinear Anal. 58, No. 2, 731-763 (2021). Reviewer: Petr Tomiczek (Plzeň) MSC: 35B32 35J25 46E30 35J50 35J66 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cintra, Willian; Morales-Rodrigo, Cristian; Suárez, Antonio Non-standard bifurcation approach to nonlinear elliptic problems. (English) Zbl 1459.35153 Rend. Ist. Mat. Univ. Trieste 52, 91-112 (2020). MSC: 35J60 35B32 35A16 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bobkov, Vladimir; Drábek, Pavel; Ilyasov, Yavdat Estimates on the spectral interval of validity of the anti-maximum principle. (English) Zbl 1439.35105 J. Differ. Equations 269, No. 4, 2956-2976 (2020). MSC: 35B50 35B09 35B30 35B38 35J25 35J92 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chhetri, Maya; Girg, Petr Some bifurcation results for fractional Laplacian problems. (English) Zbl 1447.35153 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 191, Article ID 111642, 18 p. (2020). Reviewer: Salvador Villegas (Granada) MSC: 35J61 35R11 35B32 × Cite Format Result Cite Review PDF Full Text: DOI
Dai, Guowei Bifurcation and standing wave solutions for a quasilinear Schrödinger equation. (English) Zbl 1437.35051 Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 4, 939-968 (2019). MSC: 35B32 35J62 35J25 35P30 35B09 × Cite Format Result Cite Review PDF Full Text: DOI
Rezende, M. C. M.; Sánchez-Aguilar, P. M.; Silva, E. A. B. A Landesman-Lazer local condition for semilinear elliptic problems. (English) Zbl 1427.35075 Bull. Braz. Math. Soc. (N.S.) 50, No. 4, 889-911 (2019). MSC: 35J65 35J60 35J20 35J61 58J55 × Cite Format Result Cite Review PDF Full Text: DOI
Arcoya, D.; Rezende, M. C. M.; Silva, E. A. B. Quasilinear problems under local Landesman-Lazer condition. (English) Zbl 1435.35181 Calc. Var. Partial Differ. Equ. 58, No. 6, Paper No. 210, 27 p. (2019). Reviewer: Dagmar Medková (Praha) MSC: 35J92 35B09 × Cite Format Result Cite Review PDF Full Text: DOI
Dai, Guowei; Feng, Zhaosheng Unilateral global bifurcation for eigenvalue problems with homogeneous operator. (English) Zbl 1419.47008 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 6, Article ID 1950084, 15 p. (2019). MSC: 47J15 47J10 × Cite Format Result Cite Review PDF Full Text: DOI
Cuesta, Mabel; Leadi, Liamidi A.; Nshimirimana, Pascaline Bifurcation from the first eigenvalue of the \(p\)-Laplacian with nonlinear boundary condition. (English) Zbl 1412.35150 Electron. J. Differ. Equ. 2019, Paper No. 32, 11 p. (2019). MSC: 35J92 35J40 35J65 35B32 × Cite Format Result Cite Review PDF Full Text: Link
Delgado, M.; Duarte, I. B. M.; Suárez, A. Positive solutions of a nonlocal singular elliptic equation by means of a non-standard bifurcation theory. (English) Zbl 1401.35074 J. Math. Anal. Appl. 469, No. 2, 897-915 (2019). MSC: 35J60 35B09 35B32 × Cite Format Result Cite Review PDF Full Text: DOI
Alziary, Bénédicte; Fleckinger, Jacqueline Sign of the solution to a non-cooperative system. (English) Zbl 1402.35108 Rostocker Math. Kolloq. 71, 3-13 (2018). MSC: 35J57 35B50 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Chhetri, M.; Girg, P. A global bifurcation result for a class of semipositone elliptic systems. (English) Zbl 1375.35102 J. Math. Anal. Appl. 453, No. 1, 255-270 (2017). MSC: 35J05 35J47 35B09 × Cite Format Result Cite Review PDF Full Text: DOI
Del Pezzo, Leandro M.; Quaas, Alexander Non-resonant Fredholm alternative and anti-maximum principle for the fractional \(p\)-Laplacian. (English) Zbl 1366.35216 J. Fixed Point Theory Appl. 19, No. 1, 939-958 (2017). MSC: 35R11 47G20 45G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ambrosetti, Antonio; Arcoya, David Positive solutions of elliptic Kirchhoff equations. (English) Zbl 1378.35094 Adv. Nonlinear Stud. 17, No. 1, 3-15 (2017). Reviewer: Zhiqing Han (Dalian) MSC: 35J20 35J25 58E07 58E30 × Cite Format Result Cite Review PDF Full Text: DOI
Chhetri, Maya; Girg, Petr Asymptotically linear system of three equations near resonance. (English) Zbl 1351.35045 J. Differ. Equations 261, No. 10, 5900-5922 (2016). MSC: 35J47 35B09 35B32 × Cite Format Result Cite Review PDF Full Text: DOI
Dai, Guowei Bifurcation and one-sign solutions of the \(p\)-Laplacian involving a nonlinearity with zeros. (English) Zbl 06638709 Discrete Contin. Dyn. Syst. 36, No. 10, 5323-5345 (2016). MSC: 47J15 47J05 35J60 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chhetri, Maya; Girg, Petr On the solvability of asymptotically linear systems at resonance. (English) Zbl 1342.35095 J. Math. Anal. Appl. 442, No. 2, 583-599 (2016). MSC: 35J47 × Cite Format Result Cite Review PDF Full Text: DOI
Fleckinger, J.; Gossez, J.-P.; de Thélin, F. Nodal structure of the solution of a cooperative elliptic system. (English) Zbl 1333.35057 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, 229-243 (2015). MSC: 35J57 35P30 × Cite Format Result Cite Review PDF Full Text: DOI
Bereanu, Cristian; Jebelean, Petru; Mawhin, Jean Multiple radial solutions at resonance for Neumann problems involving the mean extrinsic curvature operator. (English) Zbl 1321.35071 de Figueiredo, Djairo G. (ed.) et al., Analysis and topology in nonlinear differential equations. A tribute to Bernhard Ruf on the occasion of his 60th birthday. Selected papers based on the presentations at the IX workshop on nonlinear differential equations, João Pessoa, Brazil, September 2012. Cham: Birkhäuser/Springer (ISBN 978-3-319-04213-8/hbk; 978-3-319-04214-5/ebook). Progress in Nonlinear Differential Equations and Their Applications 85, 87-101 (2014). Reviewer: Giovanni Anello (Messina) MSC: 35J93 35J20 35J62 35J87 × Cite Format Result Cite Review PDF Full Text: DOI
Chhetri, Maya; Girg, Petr Asymptotically linear systems near and at resonance. (English) Zbl 1304.35263 Bound. Value Probl. 2014, Paper No. 242, 21 p. (2014). MSC: 35J47 × Cite Format Result Cite Review PDF Full Text: DOI
Gámez, José L.; Ruiz-Hidalgo, Juan F. Bifurcation from infinity and resonance results at high eigenvalues in dimension one. (English) Zbl 1285.34028 J. Funct. Spaces Appl. 2012, Article ID 284696, 11 p. (2012). MSC: 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Benedikt, Jiří; Girg, Petr; Takáč, Peter Perturbation of the \(p\)-Laplacian by vanishing nonlinearities (in one dimension). (English) Zbl 1250.34015 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 8, 3691-3703 (2012). Reviewer: Yulian An (Shanghai) MSC: 34B09 34C20 47N20 × Cite Format Result Cite Review PDF Full Text: DOI
Felmer, Patricio; Quaas, Alexander; Sirakov, Boyan Landesman-Lazer type results for second order Hamilton-Jacobi-Bellman equations. (English) Zbl 1190.35223 J. Funct. Anal. 258, No. 12, 4154-4182 (2010). MSC: 35R10 35B32 35J25 35J60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
García-Melián, Jorge; Rossi, Julio D. Maximum and antimaximum principles for some nonlocal diffusion operators. (English) Zbl 1185.45005 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, 6116-6121 (2009). Reviewer: Anatoly Filip Grishin (Khar’kov) MSC: 45E10 45C05 × Cite Format Result Cite Review PDF Full Text: DOI
Campos, J.; Mawhin, J.; Ortega, R. Maximum principles around an eigenvalue with constant eigenfunctions. (English) Zbl 1170.35029 Commun. Contemp. Math. 10, No. 6, 1243-1259 (2008). MSC: 35B50 34C25 35J40 35L20 47B60 × Cite Format Result Cite Review PDF Full Text: DOI
Gámez, José L.; Ruiz-Hidalgo, Juan F. A detailed analysis on local bifurcation from infinity for nonlinear elliptic problems. (English) Zbl 1135.35040 J. Math. Anal. Appl. 338, No. 2, 1458-1468 (2008). MSC: 35J65 35J40 35B32 × Cite Format Result Cite Review PDF Full Text: DOI
Arcoya, David; Carmona, José A nondifferentiable extension of a theorem of Pucci and Serrin and applications. (English) Zbl 1134.35052 J. Differ. Equations 235, No. 2, 683-700 (2007). MSC: 35J65 35J20 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Gámez, José L.; Ruiz-Hidalgo, Juan F. Sharp estimates for the Ambrosetti-Hess problem and consequences. (English) Zbl 1107.34011 J. Eur. Math. Soc. (JEMS) 8, No. 2, 287-294 (2006). Reviewer: Irena Rachůnková (Olomouc) MSC: 34B15 34C23 34B24 × Cite Format Result Cite Review PDF Full Text: DOI
Karachalios, Nikos I.; Zographopoulos, Nikos B. On the dynamics of a degenerate parabolic equation: global bifurcation of stationary states and convergence. (English) Zbl 1090.35035 Calc. Var. Partial Differ. Equ. 25, No. 3, 361-393 (2006). Reviewer: Christian Pötzsche (Minneapolis) MSC: 35B40 35B41 35R05 35K65 35K60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shi, Junping A new proof of anti-maximum principle via a bifurcation approach. (English) Zbl 1317.35089 Result. Math. 48, No. 1-2, 162-167 (2005). MSC: 35J65 35B32 × Cite Format Result Cite Review PDF Full Text: DOI
Drábek, P.; Girg, P.; Takáč, P. Bounded perturbations of homogeneous quasilinear operators using bifurcations from infinity. (English) Zbl 1111.35009 J. Differ. Equations 204, No. 2, 265-291 (2004). MSC: 35J60 35B20 35B32 47J30 58E07 × Cite Format Result Cite Review PDF Full Text: DOI
Ruiz, D. A priori estimates and existence of positive solutions for strongly nonlinear problems. (English) Zbl 1081.35037 J. Differ. Equations 199, No. 1, 96-114 (2004). MSC: 35J60 35B40 35B45 × Cite Format Result Cite Review PDF Full Text: DOI
Arcoya, David; Carmona, José Quasilinear elliptic problems interacting with its asymptotic spectrum. (English) Zbl 1013.35022 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 52, No. 6, 1591-1616 (2003). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35J20 35J25 × Cite Format Result Cite Review PDF Full Text: DOI