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Existence of Three Solutions for a Degenerate Kirchhoff–Type Transmission Problem
Authors:F Cammaroto
Institution:Department of Mathematics and Computer Science , University of Messina , Messina , Italy
Abstract:In this article, we establish the existence of three weak solutions for a nonlinear transmission problem involving degenerate nonlocal coefficients of p(x)–Kirchhoff–type. Our approach is of variational nature; the weak formulation takes place in suitable variable exponent Sobolev spaces.
Keywords:Critical point  Degenerate Kirchhoff–type problem  Nonlinear transmission problem  p(x)–Laplacian
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