Existence of nontrivial solutions for p-Laplacian variational inclusion systems in ℝ N

Abstract

The authors study the existence of nontrivial solutions to p-Laplacian variational inclusion systemswhere N ≥ 2, 2 ≤ p ≤ N and F : R 2 → R is a locally Lipschitz function. Under some growth conditions on F , and by Mountain Pass Theorem and the principle of symmetric criticality, the existence of such solutions is guaranteed.