Multiple nontrivial solutions for nonlinear eigenvalue problems
Multiple nontrivial solutions for nonlinear eigenvalue problems
In this paper we study a nonlinear eigenvalue problem driven by the $p$-Laplacian. Assuming for the right-hand side nonlinearity only unilateral and sign conditions near zero, we prove the existence of three nontrivial solutions, two of which have constant sign (one is strictly positive and the other is strictly negative), …