Fredholm alternative, semilinear elliptic problems, and Wentzell boundary conditions

Ciprian G. Gal; Gisele Ruiz Goldstein; Jerome A. Goldstein; Silvia Romanelli; Mahamadi Warma

Fredholm alternative, semilinear elliptic problems, and Wentzell boundary conditions

Analysis of PDEs 2013-11-14 v1

Authors: Ciprian G. Gal , Gisele Ruiz Goldstein , Jerome A. Goldstein , Silvia Romanelli , Mahamadi Warma

Abstract

We give necessary and sufficient conditions for the solvability of some semilinear elliptic boundary value problems involving the Laplace operator with linear and nonlinear highest order boundary conditions involving the Laplace-Beltrami operator.

Keywords

Fredholm alternative semilinear elliptic problems Wentzell boundary conditions Laplace operator Laplace-Beltrami operator solvability conditions

Cite

@article{arxiv.1311.3134,
  title  = {Fredholm alternative, semilinear elliptic problems, and Wentzell boundary conditions},
  author = {Ciprian G. Gal and Gisele Ruiz Goldstein and Jerome A. Goldstein and Silvia Romanelli and Mahamadi Warma},
  journal= {arXiv preprint arXiv:1311.3134},
  year   = {2013}
}

Comments

23 pages. This paper predates the version on the p-Laplacian (see arXiv:1105.3870)

Fredholm alternative, semilinear elliptic problems, and Wentzell boundary conditions

Abstract

Keywords

Cite

Comments

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