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On strongly Elliptic problem with weak monotonicity in anisotropic weighted Sobolev spaces
Sobre un problema elíptico con monotonía débil en espacios de Sobolev ponderados anisotrópicos
DOI:
https://doi.org/10.15446/recolma.v59n2.125943Palabras clave:
Weighted Sobolev, elliptic problem, Truncation, L1- data, weak monotonicity (en)Espacios de Sobolev, problema elíptico, Truncation, espacio de datos de tipo L1, monotonicidad débil (es)
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In this study, we prove the existence of solutions to the nonlinear elliptic boundary value problem described by the equation
−div a(x, u,∇u) + Ψ(x, u) = f
where f, Ψ(x, u) are elements of L1(Ω), and where no monotonicity condition will be supposed on the function a(x, s, ξ).
En este artículo, probamos la existencia de soluciones de la ecuación elíptica con condiciones de frontera dada por
−div a(x, u,∇u) + Ψ(x, u) = f
donde f, Ψ(x, u) son elementos de L1(Ω), y la función a(x, s, ξ) satisface una condición de no-monotonicidad.
Referencias
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