PERTURBED NONLINEAR ELLIPTIC NEUMANN PROBLEMS INVOLVING ANISOTROPIC SOBOLEV SPACES WITH VARIABLE EXPONENTS

被引：1

作者：

Ahmed, A. ^{[1
]}

Vall, M. S. B. Elemine ^{[2
]}

机构：

[1] Univ Sidi Mohamed Ibn Abdellah, Fac Sci Dhar Mahraz, Dept Math, Lab LAMA, BP 1796, Atlas Fez, Morocco

[2] Univ Nouakchott, Profess Univ Inst Dept Math, Nouakchott, Mauritania

来源：

MATEMATICHE | 2022年 / 77卷 / 02期

关键词：

Ricceri's variational principle; Kirchhoff-type problem; Non-homogeneous operators; Elliptic problems; anisotropic variable exponent Lebesgue-Sobolev spaces; ELECTRORHEOLOGICAL FLUIDS; WEAK SOLUTIONS; EXISTENCE; EQUATIONS; FUNCTIONALS; EIGENVALUE; VIBRATION;

D O I：

10.4418/2022.77.2.12

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the existence of infinitely many weak solutions of the following perturbed Kirchhoff-type non-homogeneous Neumann problem {-Sigma(N)(i=1) M-i (integral(Omega) 1/p(i)(x) vertical bar partial derivative u/partial derivative x(i)vertical bar(pi(x)) dx) partial derivative/partial derivative x(i) (vertical bar partial derivative u/partial derivative x(i)vertical bar(pi(x) 2) partial derivative u/partial derivative x(i)) + M-0 (integral(Omega) 1/p(0)(x) vertical bar u vertical bar(p0(x)-2) u = f(x,u) + g(x,u) in Omega, Sigma(N)(i=1) vertical bar partial derivative u/partial derivative x(i)vertical bar(pi(x)-2) partial derivative u/partial derivative x(i) v(i)=0 on partial derivative Omega, by applying technical approach based on critical points theorem due to B. Ricceri in a reflexive anisotropic Sobolev spaces. We use some suitable assumptions on the right had side but without using log-H older continu-ous condition.

引用

页码：465 / 486

页数：22

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