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Existence of Weak Solution for p(x)-Kirchhoff Type Problem Involving the p(x)-Laplacian-like Operator by Topological Degree
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作者 el ouaarabi mohamed ALLALOU Chakir MelLIANI Said 《Journal of Partial Differential Equations》 CSCD 2023年第2期203-219,共17页
In this paper,we study the existence of"weak solution"for a class of p(x)-Kirchhoff type problem involving the p(x)-Laplacian-like operator depending on two real parameters with Neumann boundary condition.Us... In this paper,we study the existence of"weak solution"for a class of p(x)-Kirchhoff type problem involving the p(x)-Laplacian-like operator depending on two real parameters with Neumann boundary condition.Using a topological degree for a class of demicontinuous operator of generalized(S_(+))type and the theory of the variable exponent Sobolev space,we establish the existence of"weak solution"of this problem. 展开更多
关键词 p(x)-Kirchhoff type problem p(x)-Laplacian-like operator weak solution topological degree methods variable exponent Sobolev space
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