Infinitely Many Solutions for a Critical Elliptic System with Hardy Potentials and Concave Nonlinearities
摘要
By using concentration estimates, Fountain Theorem and its Dual form we prove the existence of two disjoint and infinite sets of solutions for an elliptic system which involves Hardy potential, multiple critical Sobolev exponents and concave-convex nonlinearities. The problem is considered in a bounded domain under appropriate conditions on the critical nonlinearity.