Semilinear Poisson problems in Sobolev-Besov spaces on Lipschitz domains.

Dindos, Martin, and Mitrea, Marius. "Semilinear Poisson problems in Sobolev-Besov spaces on Lipschitz domains.." Publicacions Matemàtiques 46.2 (2002): 353-403. <http://eudml.org/doc/41457>.

@article{Dindos2002,
abstract = {Extending recent work for the linear Poisson problem for the Laplacian in the framework of Sobolev-Besov spaces on Lipschitz domains by Jerison and Kenig [16], Fabes, Mendez and Mitrea [9], and Mitrea and Taylor [30], here we take up the task of developing a similar sharp theory for semilinear problems of the type Δu - N(x,u) = F(x), equipped with Dirichlet and Neumann boundary conditions.},
author = {Dindos, Martin, Mitrea, Marius},
journal = {Publicacions Matemàtiques},
keywords = {Ecuaciones en derivadas parciales no lineales; Ecuaciones diferenciales elípticas; Operador laplaciano; Ecuación de Poisson; Problemas de valor de frontera; Dominios de Lipschitz; Integrales singulares; Espacios de Sobolev; Espacios de Besov; nonlinear equations; Lipschitz domains; elliptic PDE's; boundary value problems; Sobolev-Besov spaces.},
language = {eng},
number = {2},
pages = {353-403},
title = {Semilinear Poisson problems in Sobolev-Besov spaces on Lipschitz domains.},
url = {http://eudml.org/doc/41457},
volume = {46},
year = {2002},
}

TY - JOUR
AU - Dindos, Martin
AU - Mitrea, Marius
TI - Semilinear Poisson problems in Sobolev-Besov spaces on Lipschitz domains.
JO - Publicacions Matemàtiques
PY - 2002
VL - 46
IS - 2
SP - 353
EP - 403
AB - Extending recent work for the linear Poisson problem for the Laplacian in the framework of Sobolev-Besov spaces on Lipschitz domains by Jerison and Kenig [16], Fabes, Mendez and Mitrea [9], and Mitrea and Taylor [30], here we take up the task of developing a similar sharp theory for semilinear problems of the type Δu - N(x,u) = F(x), equipped with Dirichlet and Neumann boundary conditions.
LA - eng
KW - Ecuaciones en derivadas parciales no lineales; Ecuaciones diferenciales elípticas; Operador laplaciano; Ecuación de Poisson; Problemas de valor de frontera; Dominios de Lipschitz; Integrales singulares; Espacios de Sobolev; Espacios de Besov; nonlinear equations; Lipschitz domains; elliptic PDE's; boundary value problems; Sobolev-Besov spaces.
UR - http://eudml.org/doc/41457
ER -