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Positive solutions to a coupled singular anisotropic system with nonstandard growth and singular nonlinearities

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Publicado en:Boundary Value Problems vol. 2025, no. 1 (Dec 2025), p. 81
Publicado:
Hindawi Limited
Materias:
Elliptic functions
Variational methods
Nonlinearity
Approximation
Partial differential equations
Banach spaces
Boundary value problems
Acceso en línea:Citation/Abstract
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Resumen:This paper studies a singular anisotropic system of coupled quasilinear elliptic equations. The system features anisotropic diffusion operators with variable exponents pi<inline-graphic specific-use="web" mime-subtype="GIF" xlink:href="13661_2025_2072_Article_IEq1.gif" /> and qi<inline-graphic specific-use="web" mime-subtype="GIF" xlink:href="13661_2025_2072_Article_IEq2.gif" />, singular terms of the form v−γ1<inline-graphic specific-use="web" mime-subtype="GIF" xlink:href="13661_2025_2072_Article_IEq3.gif" /> and u−γ2<inline-graphic specific-use="web" mime-subtype="GIF" xlink:href="13661_2025_2072_Article_IEq4.gif" />, and nonlinear source terms. By employing variational methods and an approximation problem, we prove the existence of positive solutions under suitable conditions on the nonlinearities.
ISSN:1687-2762
1687-2770
DOI:10.1186/s13661-025-02072-0
Fuente:Advanced Technologies & Aerospace Database