Resonant double phase equations

DOI10.1016/j.nonrwa.2021.103454zbMath1479.35291OpenAlexW3211664544MaRDI QIDQ2061621

Youpei Zhang, Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu

Publication date: 15 December 2021

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2021.103454

zbMATH Keywords

variational methodsMorse theoretic argumentsdouble phase equationexistence of at least two bounded solutions

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Second-order elliptic equations (35J15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (12)

Twin positive solutions for a parametric double phase equation with \(p, q\)-growth ⋮ Constant sign and nodal solutions for resonant double phase problems ⋮ Solutions with sign information for noncoercive double phase equations ⋮ Existence of solutions for resonant double phase problems with mixed boundary value conditions ⋮ The double phase Dirichlet problem when the lowest exponent is equal to 1 ⋮ Infinitely many low- and high-energy solutions for double phase problems with nonstandard growth ⋮ Nonautonomous \((p,q)\)-equations with unbalanced growth and competing nonlinearities ⋮ Non‐autonomous double phase eigenvalue problems with indefinite weight and lack of compactness ⋮ Non-autonomous \((p, q)\)-equations with unbalanced growth ⋮ A fundamental condition for harmonic analysis in anisotropic generalized Orlicz spaces ⋮ Local Lipschitz continuity for \(p, q\)-PDEs with explicit \(u\)-dependence ⋮ Double phase problems: a survey of some recent results

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