Existence and multiplicity of solutions for discontinuous elliptic problems in ℝN

DOI10.1017/prm.2020.30zbMath1465.35241OpenAlexW3023705556MaRDI QIDQ4987470

Ziqing Yuan, Li-Hong Huang, Claudianor Oliveira Alves

Publication date: 3 May 2021

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/prm.2020.30

zbMATH Keywords

variational methodsmultiplicity of solutionssemilinear equation with Laplacian

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (3)

Existence of solution for a class of elliptic problems in exterior domain with discontinuous nonlinearity ⋮ Concentration of solutions for fractional Kirchhoff equations with discontinuous reaction ⋮ Mixed order elliptic problems driven by a singularity, a Choquard type term and a discontinuous power nonlinearity with critical variable exponents

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