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Existence results for Steklov problem involving the p(x)-Laplace operator

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Abstract In this paper we study the following non-linear Steklov boundary-value problem where is a bounded smooth domain, is a positive parameter, with ess , and is the outer unit… Click to show full abstract

Abstract In this paper we study the following non-linear Steklov boundary-value problem where is a bounded smooth domain, is a positive parameter, with ess , and is the outer unit normal to . Using the min-max method and Ekeland’s variational principle, we prove some results on the existence of weak nontrivial solutions.

Keywords: existence; problem involving; results steklov; existence results; problem; steklov problem

Journal Title: Complex Variables and Elliptic Equations
Year Published: 2018

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