Existence results for a superlinear \(p\)-Laplacian equation with indefinite weights.

DOI10.1016/S0362-546X(03)00120-2zbMath1103.35326MaRDI QIDQ1400270

Benjin Xuan

Publication date: 13 August 2003

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

zbMATH Keywords

p-LaplacianIndefinite weightLinking argumentMountain pass Lemma

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (3)

On a class of quasilinear elliptic equation with indefinite weights on graphs ⋮ On a Class of Schrödinger-Type Equations with Indefinite Weight Functions ⋮ Multiple positive solutions for a \((p,q)\)-Laplace equation involving singular and critical terms

Cites Work

• Critical point theorems for indefinite functionals
• Linking and existence results for perturbations of the \(p\)-Laplacian
• Dual variational methods in critical point theory and applications
• MULTIPLE SOLUTIONS TO p-LAPLACIAN PROBLEMS WITH ASYMPTOTIC NONLINEARITY AS up−1 AT INFINITY
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Existence results for perturbations of the p-Laplacian
• Multiple solutions for a problem with resonance involving the \(p\)-Laplacian
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