New Conditions for the Existence of Infinitely Many Solutions for a Quasi-Linear Problem

DOI10.1017/S001309151500036XzbMath1386.35123MaRDI QIDQ2976220

Csaba Farkas, Francesca Faraci

Publication date: 28 April 2017

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problem\(p\)-Laplacianinfinitely many solutionsRicceri's variational principle

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

• New competition phenomena in Dirichlet problems
• A perturbation method for multiple sign-changing solutions
• One-dimensional scalar field equations involving an oscillatory nonlinear term
• Infinitely many periodic solutions for a second-order nonautonomous system.
• On the multiplicity of the solutions of the equation \(-\Delta u=\lambda \cdot f(u)\)
• Infinitely many solutions for the Dirichlet problem involving the \(p\)-Laplacian
• A general variational principle and some of its applications
• Dual variational methods in critical point theory and applications
• INFINITELY MANY SOLUTIONS OF THE NEUMANN PROBLEM FOR ELLIPTIC EQUATIONS INVOLVING THE p-LAPLACIAN
• Infinitely many arbitrarily small positive solutions for the Dirichlet problem involving the p-Laplacian
• Infinitely many solutions for indefinite semilinear elliptic equations without symmetry
• Infinitely many solutions of a quasilinear elliptic problem with an oscillatory potential^∗

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