Existence of infinitely many solutions for double phase problem with sign-changing potential

DOI10.1007/S13398-019-00684-7zbMath1427.35048OpenAlexW2944524767WikidataQ127940171 ScholiaQ127940171MaRDI QIDQ2331698

Zhiyuan Chen, Bin Ge

Publication date: 30 October 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-019-00684-7

zbMATH Keywords

multiple solutionsvariational methodsign-changing potentialdouble phase problem

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60)

Related Items (13)

On double-phase problems without any growth and Ambrosetti–Rabinowitz conditions ⋮ Infinitely many positive solutions for a double phase problem ⋮ Existence of solutions for double-phase problems by topological degree ⋮ Quasilinear double phase problems in the whole space via perturbation methods ⋮ Renormalized non-negative solutions for the double phase Dirichlet problems with L1 data ⋮ Infinitely many low- and high-energy solutions for double phase problems with nonstandard growth ⋮ Multiple nontrivial solutions for superlinear double phase problems via Morse theory ⋮ The Nehari manifold for double‐phase problems with convex and concave nonlinearities ⋮ Unnamed Item ⋮ Existence of solution for double-phase problem with singular weights ⋮ Existence and nonexistence of solutions for the double phase problem ⋮ On a double phase problem with sublinear and superlinear nonlinearities ⋮ Multiple solutions for a class of double phase problem without the Ambrosetti-Rabinowitz conditions

Cites Work

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• On the stationary solutions of generalized reaction diffusion equations with \(p\)\& \(q\)-Laplacian
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• Variational inequalities in Musielak-Orlicz-Sobolev spaces
• Sign-changing and multiple solutions of Kirchhoff type problems without the P.S. condition

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