Multiplicity results for critical p-Laplacian problems

2016/08/10 by Giuseppina Barletta, Barletta, Giuseppina, Pasquale Candito +5 · 1 citation
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering #Contact Mechanics and Variational Inequalities

paper · pdf · doi:10.48550/arxiv.1608.03266

Abstract

We prove the existence of N distinct pairs of nontrivial solutions for critical p-Laplacian problems in \mathbb R^N, as well as in bounded domains. To overcome the difficulties arising from the lack of compactness, we use a recent global compactness result of Mercuri and Willem.

Cited by

• A Struwe-type decomposition result for weighted critical p-Laplace equations

Related

• Bifurcation and multiplicity results for critical p-Laplacian problems
• Abstract multiplicity theorems and applications to critical growth problems
• New multiplicity results for critical p-Laplacian problems
• Multiplicity of strong solutions for a class of elliptic problems without the Ambrosetti-Rabinowitz condition in ℝ^N
• Explicit solutions and multiplicity results for some equations with the\n p-Laplacian