Results 251 to 260 of about 19,200,433 (281)

On the Regularity of a Boundary Point for the p(x)-Laplacian

Doklady Mathematics, 2018
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Alkhutov, Yu. A., Surnachev, M. D.
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Regularity of a Boundary Point for the p(x)-Laplacian

Journal of Mathematical Sciences, 2018
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Alkhutov, Yuriĭ A., Surnachev, M. D.
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Existence Results for Singular p(x)-Laplacian Equation

Advances in Pure and Applied Mathematics, 2022
Summary: This paper is concerned with the existence of solutions for the following class of singular fourth order elliptic equations \[\begin{cases}\Delta(|x|^{p(x)}|\Delta u|^{p(x)-2}\Delta u)=a(x)u^{-\gamma(x)}+\lambda f(x,u),\quad & \text{in }\Omega, \\ u=\Delta u=0, \quad &\text{on }\partial\Omega.\end{cases}\] where \(\Omega\) is a smooth bounded ...
Alsaedi, R., Ali, K. Ben, Ghanmi, A.
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Robin problems involving the p(x)-Laplacian

Applied Mathematics and Computation, 2018
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On the diffusion p(x)-Laplacian with logarithmic nonlinearity

Journal of Elliptic and Parabolic Equations, 2020
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Harnack’s Inequality for the p(x)-Laplacian with a Two-Phase Exponent p(x)

Journal of Mathematical Sciences, 2019
The authors consider solutions to the elliptic \(p(x)\)-Laplacian equation (\(1< p_1 \leq p(x) \leq p_2\)). This paper is in the memory of Vasilii Vasilievich Zhikov who worked in this field. The authors consider a neighborhood of a point \(x_0\) on a hyperplane \(\Sigma\). The function \(p\) has a logarithmic continuity when \(x_0\) is approached from
Alkhutov, Yu. A., Surnachev, M. D.
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On the weak Harnack inequality for the parabolic p(x)-Laplacian

Asymptotic Analysis, 2021
In this paper a weak Harnack inequality for the parabolic [Formula: see text]-Laplacian is established.
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Galerkin approximations for the Dirichlet problem with the $p(x)$-Laplacian

Sbornik: Mathematics, 2019
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Pastukhova, S. E., Yakubovich, D. A.
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A Tour on p(x)-Laplacian Problems When p = ∞

2016
Most of the times, in problems where the p(x)-Laplacian is involved, the variable exponent p(⋅ ) is assumed to be bounded. The main reason for this is to be able to apply standard variational methods. The aim of this paper is to present the work that has been done so far, in problems where the variable exponent p(⋅ ) equals infinity in some part of the
Yiannis Karagiorgos, Nikos Yannakakis
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Existence of solutions for generalized p(x)-Laplacian systems

Rendiconti del Circolo Matematico di Palermo Series 2, 2019
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Azroul, Elhoussine, Balaadich, Farah
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