Existence results for Schrödinger p(.)-Laplace equations involving critical growth in R^N
https://doi.org/10.1016/j.na.2018.12.004Publisher, magazine: ,
Publication year: 2019
Lưu Trích dẫn Chia sẻAbstract
We establish some existence results for Schrödinger -Laplace equations in with various potentials and critical growth of nonlinearity that may occur on some nonempty set, although not necessarily the whole space . The proofs are mainly based on concentration-compactness principles in a suitable weighted variable exponent Sobolev space and its imbeddings.
Tags: -Laplacian, Weighted variable exponent Sobolev spaces, Concentration-compactness principle
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