Weak solutions for a class of quasilinear elliptic equation containing the $p(\cdot )$-Laplacian and the mean curvature operator in a variable exponent Sobolev space

In this paper, we consider the equation for a class of nonlinear operators containing $p(\cdot ) $-Laplacian and mean curvature operator with mixed boundary conditions in a bounded domain $\Omega $ of $\mathbb{R}^N$, under the hypothesis $p(x)>1$ in $\overline{\Omega}$. More precisely, we are con...

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Bibliographic Details
Main Author: Junichi Aramaki
Format: Article
Language:English
Published: University of Szeged 2024-12-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=11270
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