Nonlinear perturbations of a periodic elliptic problem with discontinuous nonlinearity in \({\mathbb{R}}^{N}\)

DOI10.1007/S00033-011-0153-0zbMath1235.35019OpenAlexW2067730658MaRDI QIDQ662384

Rúbia G. Nascimento, Claudianor Oliveira Alves

Publication date: 22 February 2012

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-011-0153-0

zbMATH Keywords

variational methodselliptic problemNehari manifoldlack of compactnessdiscontinuous nonlinearity

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Discontinuous ordinary differential equations (34A36) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)

Related Items (3)

Multiple solutions for an inclusion quasilinear problem with nonhomogeneous boundary condition through Orlicz–Sobolev spaces ⋮ On existence and concentration of solutions for an elliptic problem with discontinuous nonlinearity via penalization method ⋮ Existence of solutions for an NSE with discontinuous nonlinearity

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