# An elliptic semilinear equation with source term involving boundary measures: the subcritical case.

Marie Françoise Bidaut-Véron; Laurent Vivier

Revista Matemática Iberoamericana (2000)

- Volume: 16, Issue: 3, page 477-513
- ISSN: 0213-2230

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topBidaut-Véron, Marie Françoise, and Vivier, Laurent. "An elliptic semilinear equation with source term involving boundary measures: the subcritical case.." Revista Matemática Iberoamericana 16.3 (2000): 477-513. <http://eudml.org/doc/39613>.

@article{Bidaut2000,

abstract = {We study the boundary behaviour of the nonnegative solutions of the semilinear elliptic equation in a bounded regular domain Ω of RN (N ≥ 2),⎧ Δu + uq = 0, in Ω⎨⎩ u = μ, on ∂Ωwhere 1 < q < (N + 1)/(N - 1) and μ is a Radon measure on ∂Ω. We give a priori estimates and existence results. The lie on the study of superharmonic functions in some weighted Marcinkiewicz spaces.},

author = {Bidaut-Véron, Marie Françoise, Vivier, Laurent},

journal = {Revista Matemática Iberoamericana},

keywords = {Problema elíptico; Medida de Radón; superharmonic functions; integral representation},

language = {eng},

number = {3},

pages = {477-513},

title = {An elliptic semilinear equation with source term involving boundary measures: the subcritical case.},

url = {http://eudml.org/doc/39613},

volume = {16},

year = {2000},

}

TY - JOUR

AU - Bidaut-Véron, Marie Françoise

AU - Vivier, Laurent

TI - An elliptic semilinear equation with source term involving boundary measures: the subcritical case.

JO - Revista Matemática Iberoamericana

PY - 2000

VL - 16

IS - 3

SP - 477

EP - 513

AB - We study the boundary behaviour of the nonnegative solutions of the semilinear elliptic equation in a bounded regular domain Ω of RN (N ≥ 2),⎧ Δu + uq = 0, in Ω⎨⎩ u = μ, on ∂Ωwhere 1 < q < (N + 1)/(N - 1) and μ is a Radon measure on ∂Ω. We give a priori estimates and existence results. The lie on the study of superharmonic functions in some weighted Marcinkiewicz spaces.

LA - eng

KW - Problema elíptico; Medida de Radón; superharmonic functions; integral representation

UR - http://eudml.org/doc/39613

ER -

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