Existence of three solutions for a Neumann problem involving the p(x)-Laplace operator

Yin H.

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Existence of three solutions for a Neumann problem involving the p(x)-Laplace operator

机译：涉及p（x）-Laplace算子的Neumann问题的三个解的存在性

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摘要

In this paper, we study the existence of three solutions to a Neumann problem with nonstandard growth conditions. The technical approach is mainly based on three critical points theorem due to Ricceri.

机译：在本文中，我们研究了具有非标准增长条件的Neumann问题的三个解的存在性。技术方法主要基于Ricceri提出的三个临界点定理。

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《Mathematical Methods in the Applied Sciences》 |2012年第3期|共7页
作者
Yin H.;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
p(x)-Laplacian; Sobolev space; three critical points theorem;

机译：p（x）-Laplacian;Sobolev空间;三个临界点定理;

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1. On the existence of infinitely many solutions of a nonlinear Neumann problem involving the m-Laplace operator [J] . Ionela Loredana Stancut Universitatea din Craiova. Analele. Seria: Matematica, Informatica . 2015,第2期

机译：关于涉及m-Laplace算子的非线性Neumann问题的无穷多个解的存在
2. On the existence of infinitely many solutions of a nonlinear Neumann problem involving the m-Laplace operator [J] . Ionela Loredana Stancut University of Bucharest. Annals. Mathematical Series . 2015,第2期

机译：关于涉及m-Laplace算子的非线性Neumann问题的无穷多个解的存在
3. Existence of three solutions for a Neumann problem involving the p(x)-Laplace operator [J] . Yin H. Mathematical Methods in the Applied Sciences . 2012,第3期

机译：涉及p（x）-Laplace算子的Neumann问题的三个解的存在性
4. A symbolic computation method of analytic solution of the mixed Direchlet-Neumann-Robin problem for LaPlace's equation [C] . Herbert H. Snyder, Ralph W. Wilkerson Annual conference on Computer Science;Conference on Computer Science . 1987

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5. Geometric Techniques for Dirac and Laplace Like Operators [D] . Weisblatt, Adam. 2018

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6. New applications of the existence of solutions for equilibrium equations with Neumann type boundary condition [O] . Zhaoqi Ji, Tao Liu, Hong Tian, -1

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7. Existence of three solutions for equations of p ( x ) $p(x)$ -Laplace type operators with nonlinear Neumann boundary conditions [O] . In Hyoun Kim, Yun-Ho Kim, Kisoeb Park 2016

机译：方程的三个解的存在性 p （ X ） $ p（x）$ -非线性Neumann边界条件的Laplace型算子
8. Existence of Classical Solutions to a Free Boundary Problem for the p-Laplace211 Operator: (II) The Interior Convex Case [R] . Henrot, A., Shahgholian, H. 1998

机译：p-Laplace211算子自由边界问题经典解的存在性：（II）内部凸包

Existence of three solutions for a Neumann problem involving the p(x)-Laplace operator

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