Infinitely many solutions to a class of \(p\)-Laplace equations

DOI10.1007/s10255-019-0851-5zbMath1437.35212OpenAlexW2995123458MaRDI QIDQ2300518

Yi-Hua Deng

Publication date: 27 February 2020

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-019-0851-5

zbMATH Keywords

nonnegative solutionvariational methods\(p\)-Laplace equationinfinitely many solutions

Mathematics Subject Classification ID

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

Cites Work

• Existence of a ground state solution for a class of \(p\)-Laplace equations
• On a singular elliptic problem involving critical growth in \({\mathbb{R}^{\text N}}\)
• Existence of solutions for a perturbation sublinear elliptic equation in \(\mathbb R^N\)
• Quasilinear elliptic equations on \({\mathbb{R}}^{N}\) with singular potentials and bounded nonlinearity
• A quasi-linear elliptic equation with critical growth on compact Riemannian manifold without boundary
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Nodal solutions for a sublinear elliptic equation
• Study of an elliptic equation with a singular potential
• Dual variational methods in critical point theory and applications
• A class of \(p\)-\(q\)-Laplacian type equation with potentials eigenvalue problem in \(\mathbb{R}^N\)
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals

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