A-priori bounds and multiplicity of solutions for nonlinear elliptic problems involving the fractionalp(⋅)-Laplacian
By Ky Ho, Yun-Ho Kim. Nonlinear Analysis, 2018
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Abstract We obtain fundamental imbeddings for fractional Sobolev spaces with variable exponents, which are a generalization of the well-known fractional Sobolev spaces. As an application, we obtain a-priori bounds and multiplicity of solutions to some nonlinear elliptic problems involving the fractional p ( ⋅ ) -Laplacian.
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/063e61f575abc9c01190e801e58a38029ca8f523
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In Applied Mathematics
In Computational Theory and Mathematics
Citations in the corpus
- New embedding results for double phase problems with variable exponents and a priori bounds for corresponding generalized double phase problems (2022, methodology): “In this step, we will obtain (4.3) by using an argument similar as in Ho-Kim [41, Proof of Theorem 4.2].”