Existence of solution to a critical trace equation with variable exponent
نویسندگان
چکیده
In this paper we study sufficient local conditions for the existence of non-trivial solution to a critical equation for the p(x)−Laplacian where the critical term is placed as a source through the boundary of the domain. The proof relies on a suitable generalization of the concentration–compactness principle for the trace embedding for variable exponent Sobolev spaces and the classical mountain pass theorem.
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ورودعنوان ژورنال:
- Asymptotic Analysis
دوره 93 شماره
صفحات -
تاریخ انتشار 2015