The antimaximum principle and the existence of a solution for the generalized p-Laplace equations with indefinite weight

DOI10.7153/DEA-04-34zbMath1266.35089OpenAlexW2320600390MaRDI QIDQ4907848

Mieko Tanaka

Publication date: 26 February 2013

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: http://files.ele-math.com/articles/dea-04-34.pdf

zbMATH Keywords

quasilinear elliptic equationsnonlinear eigenvalue problems\(p\)-Laplacianindefinite weightantimaximum principlemontain pass theorem

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Quasilinear elliptic equations (35J62)

Related Items (4)

Estimates on the spectral interval of validity of the anti-maximum principle ⋮ Maximum and anti-maximum principle for the fractional \(p\)-Laplacian with indefinite weights ⋮ Existence of the generalized Fučík spectrum for nonhomogeneous elliptic operators ⋮ Existence results for quasilinear elliptic equations with indefinite weight

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