Existence of bounded weak solutions of the Robin problem for a quasi-linear elliptic equation with p(x)-Laplacian

Mikhail Borsuk

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Existence of bounded weak solutions of the Robin problem for a quasi-linear elliptic equation with p(x)-Laplacian

机译：P（X） - 普拉西亚语拟线性椭圆型方程的Robin问题有界弱解的存在

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摘要

We prove the existence of bounded weak solutions to the Robin problem for an elliptic quasi-linear second-order equation with the variable p(x)-Laplacian.

机译：通过变量P（X）-Laplacian，我们证明了椭圆拟线性二阶方程的椭圆拟线性二阶方程的偏向弱解的存在。

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《Electronic Journal of Qualitative Theory of Differential Equations》 |2019年第16期|共11页
作者
Mikhail Borsuk;
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p(x)-Laplacianangular and conical pointsthe nonlinear Robin boundary condition;

机译：P（x） - 普拉基舞和锥形点;非线性罗宾边界条件;

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1. Existence of Nontrivial Weak Solutions to Quasi-Linear Elliptic Equations with Exponential Growth [J] . WANG Chong 偏微分方程：英文版 . 2013,第001期

机译：具有指数增长的拟线性椭圆型方程非平凡弱解的存在性
2. Existence of bounded positive solutions of quasi-linear elliptic equations [J] . Junli Yuan, Zuodong Yang Applicable Analysis . 2010,第8期

机译：拟线性椭圆型方程有界正解的存在性
3. Existence of bounded positive solutions of quasi-linear elliptic equations [J] . Applicable Analysis . 2010,第8期

机译：拟线性椭圆型方程有界正解的存在性
4. The Discussion for the Existence of Nontrivial Solutions About a Kind of Quasi-Linear Elliptic Equations [C] . Bingyu Kou, Lei Mao, Xinghu Teng, International symposium on IT in medicine and education . 2014

机译：一类拟线性椭圆方程非平凡解的存在性讨论
5. Normalized p-laplacian evolution: boundary behavior of non-negative solutions of fully nonlinear parabolic equations: Gradient bounds for p-harmonic systems with vanishing neumann (dirichlet) data in a convex domain. [D] . Banerjee, Agnid. 2014

机译：归一化的p-拉普拉斯演化：完全非线性抛物方程的非负解的边界行为：具有在凸域中消失的Neumann（dirichlet）数据的p调和系统的梯度界。
6. Existence of periodic solution for fourth-order generalized neutral p-Laplacian differential equation with attractive and repulsive singularities [O] . Yun Xin, Hongmin Liu -1

机译：具有吸引和排斥奇点的四阶广义中立p-Laplacian微分方程周期解的存在性
7. Existence of multiple solutions for quasi-linear degenerate elliptic equations [O] . Yawei Wei 2020

机译：拟线性退化椭圆方程多解决方案的存在

Existence of bounded weak solutions of the Robin problem for a quasi-linear elliptic equation with p(x)-Laplacian

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