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This paper considers the following Dirichlet problem of the form −div ( Φ(Du−Θ(u) ) = v(x) + f(x, u) + div ( g(x, u) ) , which corresponds to a… Click to show full abstract
This paper considers the following Dirichlet problem of the form −div ( Φ(Du−Θ(u) ) = v(x) + f(x, u) + div ( g(x, u) ) , which corresponds to a diffusion problem with a source v in moving and dissolving substance, the motion is described by g and the dissolution by f . By the theory of Young measure we will prove the existence result in variable exponent Sobolev spaces W 1,p(x) 0 (Ω;R).
Keywords:
system nonlinear;
nonlinear physical;
physical data;
generalized elliptic;
elliptic system
Journal Title: Journal of Applied Analysis and Computation
Year Published: 2020
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Journal Title: Journal of Applied Analysis and Computation
Year Published: 2020
Link to full text (if available)
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recommendations!