Semilinear Poisson problems in Sobolev-Besov spaces on Lipschitz domains.
Dindos, Martin ; Mitrea, Marius
Publicacions Matemàtiques, Tome 46 (2002), p. 353-403 / Harvested from Biblioteca Digital de Matemáticas
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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.

Publié le : 2002-01-01
DMLE-ID : 3976 
@article{urn:eudml:doc:41457,
     title = {Semilinear Poisson problems in Sobolev-Besov spaces on Lipschitz domains.},
     journal = {Publicacions Matem\`atiques},
     volume = {46},
     year = {2002},
     pages = {353-403},
     mrnumber = {MR1934200},
     zbl = {1058.35073},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41457}
}

Dindos, Martin; Mitrea, Marius. Semilinear Poisson problems in Sobolev-Besov spaces on Lipschitz domains.. Publicacions Matemàtiques, Tome 46 (2002) pp. 353-403. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41457/