Multiple solutions for asymptotically linear elliptic equations with sign-changing weight

DOI10.1215/21562261-3089082zbMath1333.35026OpenAlexW2230830658MaRDI QIDQ500826

Vicenţiu D. Rădulescu, Nikolaos S. Papageorgiou

Publication date: 5 October 2015

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.kjm/1441824038

zbMATH Keywords

maximum principlecritical groupsmountain pass theoremindefinite weightweighted eigenvalue problem

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Related Items (1)

Nonlinear concave-convex problems with indefinite weight

Cites Work

• Nonlinear elliptic equations with an asymptotically linear reaction term
• On semilinear elliptic equations with indefinite nonlinearities
• Superlinear indefinite elliptic problems and nonlinear Liouville theorems
• Elliptic problems with nonlinearities indefinite in sign
• Dirichlet problem with indefinite nonlinearities
• Dual variational methods in critical point theory and applications
• Homotopy theory of infinite dimensional manifolds
• On the Positive Solutions of Semilinear Equations Δu + λu - hu p = 0 on the Compact Manifolds
• Critical point theory on partially ordered Hilbert spaces
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