Existence of Positive Solutions for a Class of Variable Exponent Elliptic Systems

• Autores: S. Ala, Ghasem A. Afrouzi
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 118, Nº 1, 2016, págs. 83-94
• Idioma: inglés
• DOI: 10.7146/math.scand.a-23298
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• Resumen

  • We consider the system of differential equations \[ \begin{cases} -\Delta_{p(x)}u=\lambda^{p(x)}f(u,v)&\text{in $\Omega$,}\\ -\Delta_{q(x)}v=\mu^{q(x)}g(u,v)&\text{in $\Omega$,}\\ u=v=0&\text{on $\partial\Omega$,}\end{cases} \] where $\Omega \subset\mathsf{R}^{N}$ is a bounded domain with $C^{2}$ boundary $\partial \Omega,1