On an abstract bifurcation result concerning homogeneous potential operators with applications to PDEs

DOI10.1016/j.jde.2020.06.001zbMath1471.58015arXiv1907.02123OpenAlexW3035407394MaRDI QIDQ2189821

Kaye O. Silva

Publication date: 16 June 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.02123

zbMATH Keywords

critical pointsNegishi manifold

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Duality and reflexivity in normed linear and Banach spaces (46B10) Bifurcations in context of PDEs (35B32) Semilinear elliptic equations (35J61) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items (9)

Sign-changing solutions for a class of Schrödinger-Bopp-Podolsky system with concave-convex nonlinearities ⋮ Multiplicity of solutions to a Schrödinger problem with square diffusion term ⋮ Non-compact perturbations of coercive functionals and applications ⋮ Fractional p-Laplacian elliptic problems with sign changing nonlinearities via the nonlinear Rayleigh quotient ⋮ Superlinear fractional elliptic problems via the nonlinear Rayleigh quotient with two parameters ⋮ Zero energy critical points of functionals depending on a parameter. ⋮ Finer analysis of the Nehari set associated to a class of Kirchhoff-type equations ⋮ On the Brezis-Nirenberg problem for a Kirchhoff type equation in high dimension ⋮ Multiple solutions and profile description for a nonlinear Schrödinger-Bopp-Podolsky-Proca system on a manifold

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