Honghui Yin, Zuodong Yang
Abstract
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Our main purpose is to establish the existence of a positive solution of the system $$\begin{cases} -\triangle_{p(x)} u= F(x,u,v),&x\in \Omega,\\ -\triangle_{q(x)} v= H(x,u,v),&x\in \Omega,\\ u=v=0,&x\in\partial\Omega, \end{cases} $$ where $\Omega\subset
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Our main purpose is to establish the existence of a positive solution of the system $$\begin{cases} -\triangle_{p(x)} u= F(x,u,v),&x\in \Omega,\\ -\triangle_{q(x)} v= H(x,u,v),&x\in \Omega,\\ u=v=0,&x\in\partial\Omega, \end{cases} $$ where $\Omega\subset
Key concepts: Mathematics, Applied mathematics, Mathematical analysis