Local bounds, Harnack's inequality and Hölder continuity for divergence type elliptic equations with non-standard growth

We obtain a Harnack type inequality for solutions to elliptic equations in divergence form with non-standard p(x)-type growth. A model equation is the inhomogeneous p(x)-Laplacian. Namely, Δ<inf>p(x)</inf>u := div(|∇<inf>u</inf>|p(x)-2∇<inf>u</inf>) = f(x) in Ω fo...

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Detalles Bibliográficos
Autor principal: Wolanski, N.
Formato: JOUR
Materias:
Harnack's inequality
Local bounds
Variable exponent spaces
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00416932_v56_n1_p73_Wolanski
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

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