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Regularidad global para un problema quasi-lineal sobre regiones irregulares
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Abstract
En este trabajo investigamos la existencia, unicidad, estimaciones a priori
y continuidad global para un problema eliptico generalizado con condiciones de
frontera tipo Neumann o Robin. Ademas, los coeficientes de orden inferior en general
no estan acotados. En condiciones minimas, mostramos que el problema admite una
solucion debil Holder continua globalmente
Let Ω ⊆ RN a W1,P - extension bounded domain and ∂Ω a d-set. In this work, we investigate the existence, uniqueness, a priori estimates, and global regularity of a generalized elliptic problem with boundary conditions of Neumann or Robin type, Furthermore, the lower-order measurable coefficients are in general unbounded. Under minimal conditions, we show that problem admits a globally H¨older continuous weak solution.
Let Ω ⊆ RN a W1,P - extension bounded domain and ∂Ω a d-set. In this work, we investigate the existence, uniqueness, a priori estimates, and global regularity of a generalized elliptic problem with boundary conditions of Neumann or Robin type, Furthermore, the lower-order measurable coefficients are in general unbounded. Under minimal conditions, we show that problem admits a globally H¨older continuous weak solution.
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Date
2024-05-14
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Keywords
d-conjunto, dominio de extension, Regularidad global, problema eliptico, coeficientes no acotados