Nonnegative solutions to reaction-diffusion system with cross-diffusion and nonstandard growth conditions

被引：3

作者：

Arumugam, Gurusamy ^{[1
]}

Tyagi, Jagmohan ^{[1
]}

机构：

[1] Indian Inst Technol Gandhinagar, Discipline Math, Gandhinagar, Gujarat, India

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 10期

关键词：

Galerkin's approximation; second-order parabolic systems; variable exponents; weak solutions; PARABOLIC EQUATIONS; VARIABLE EXPONENT; BLOW-UP; EXISTENCE; MODEL; P(X; NONLINEARITY; LOCALIZATION; SPACES;

D O I：

10.1002/mma.6401

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the existence of nonnegative weak solutions to nonlinear reaction-diffusion system with cross-diffusion and nonstandard growth conditions subject to the homogeneous Neumann boundary conditions. We assume that the diffusion operators satisfy certain monotonicity condition and nonstandard growth conditions and prove that the existence of weak solutions using Galerkin's approximation technique.

引用

页码：6576 / 6597

页数：22

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