Nontrivial Solution for a Nonlocal Elliptic Transmission Problem in Variable Exponent Sobolev Spaces

BilalCekic; Rabil A.Mashiyev

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Nontrivial Solution for a Nonlocal Elliptic Transmission Problem in Variable Exponent Sobolev Spaces

机译：可变指数Sobolev空间中非局部椭圆传递问题的非平凡解

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摘要

In this paper, by means of adequate variational techniques and the theory of the variableexponent Sobolev spaces, we show the existence of nontrivial solution for a transmission problem given by a system of two nonlinear elliptic equations ofp(x)-Kirchhoff type with nonstandard growth condition.

机译：在本文中，通过适当的变分技术和可变指数Sobolev空间的理论，我们证明了由两个具有非标准增长条件的p（x）-Kirchhoff型非线性椭圆方程组给出的传递问题的非平凡解的存在。

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《Abstract and applied analysis》 |2010年第3期|共12页
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BilalCekic; Rabil A.Mashiyev;
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3. Multiple Nontrivial Solutions for a Class of Biharmonic Elliptic Equations with Sobolev Critical Exponent [J] . Qian Xiaoyong, Wang Jun, Zhu Maochun Mathematical Problems in Engineering . 2018,第15期

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机译：临界SoboLev-Hardy指数的一些边界奇异性椭圆方程的正解的存在
5. Analysis of Nonlocal Equations: One-sided Weighted Fractional Sobolev Spaces and Harnack Inequality for Fractional Nondivergence Form Elliptic Equations [D] . ?Vaughan, Mary Colleen 2020

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6. Solutions for the quasi-linear elliptic problems involving the critical Sobolev exponent [O] . Yanbin Sang, Siman Guo -1

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7. Nontrivial Solution for a Nonlocal Elliptic Transmission Problem in Variable Exponent Sobolev Spaces [O] . Bilal Cekic, Rabil A. Mashiyev 2010

机译：变指数sobolev空间中非局部椭圆传输问题的非平凡解

Nontrivial Solution for a Nonlocal Elliptic Transmission Problem in Variable Exponent Sobolev Spaces

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