NONTRIVIAL SOLUTIONS FOR THE FRACTIONAL LAPLACIAN PROBLEMS WITHOUT ASYMPTOTIC LIMITS NEAR BOTH INFINITY AND ZERO

摘要

In this paper we obtain the existence of nontrivial solutions for thefractional Laplacian equations with the nonlinearity may fail to have asymptoticlimits at zero and at innity. We make use of a combination of homotopyinvariance of critical groups and the topological version of linking methods.