Existence of solutions for an elliptic equation with indefinite weight

DOI10.1016/j.na.2006.03.034zbMath1143.35043OpenAlexW2033750537MaRDI QIDQ878526

Li Yongqing, Zeng Jing

Publication date: 26 April 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.03.034

zbMATH Keywords

Palais-Smale conditioncritical-point theoryindefinite weightelliptic equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Related Items (2)

On nontrivial solutions of nonlinear Schrödinger equations with sign-changing potential ⋮ Nontrivial solutions for Neumann problems with an indefinite linear part

Cites Work

• Existence of solutions of semilinear elliptic problems on unbounded domains
• On the existence of sign changing solutions for semilinear Dirichlet problems
• Nontrivial solution for a semilinear elliptic equation in unbounded domain with critical Sobolev exponent
• Generalized linking theorem with an application to a semilinear Schrödinger equation
• Sign Changing Solutions of Superlinear Schrödinger Equations
• Principal Eigenvalues for Indefinite-Weight Elliptic Problems in R n
• Linking type solutions for elliptic equations with indefinite nonlinearities up to the critical growth
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