We consider an elliptic PDE with critical nonlinearity involving the Laplacian operator with zero Dirichlet boundary condition on the unit ball of . We assume some perturbation conditions and obtain what seems to be the first existence result for this problem.
Submitted March 8, 2016. Published August 23, 2016.
Math Subject Classifications: 35J65.
Key Words: Critical Sobolev exponent; critical points at infinity; variational method.
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| Khadijah Sharaf |
Department of mathematics
King Abdulaziz University, P.O. 80230
Jeddah, Kingdom of Saudi Arabia
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