In this paper, we are interested in a class of critical nonlocal problems with variable exponents. The strategy of the existence proof for these results is to approach the problem variationally by using the mountain pass theorem and the concentration-compactness principles for fractional Sobolev spaces with variable exponents. In addition, we obtain the existence and multiplicity of nontrivial solutions for the above problem in non-degenerate and degenerate cases.
Existence and multiplicity of solutions for critical nonlocal equations with variable exponents
Patrizia Pucci
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In corso di stampa
Abstract
In this paper, we are interested in a class of critical nonlocal problems with variable exponents. The strategy of the existence proof for these results is to approach the problem variationally by using the mountain pass theorem and the concentration-compactness principles for fractional Sobolev spaces with variable exponents. In addition, we obtain the existence and multiplicity of nontrivial solutions for the above problem in non-degenerate and degenerate cases.File in questo prodotto:
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