Affiliation:
1. National Institute of Technology, Rourkela, India
Abstract
The authors use the manifold technique to demonstrate that the issue combining a nonlinear integro-differential operator and a term with critical exponent has three nontrivial weak solutions. The operator considered in the problem covers the case of the fractional p-Laplacian operator and is possibly degenerate. The outcomes include a sign-changing solution and a positive and a negative solution. Also, presence of critical exponent term increases the complexity of the problem as compactness property fails in this case.
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