The nonlinear Poisson equation via a Newton-embedding procedure

DOI10.1080/17476933.2010.504841zbMath1251.35025arXiv0912.2794OpenAlexW2084827602MaRDI QIDQ2892037

Jonathan J. Sarhad

Publication date: 18 June 2012

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.2794

zbMATH Keywords

nonlinear Poisson problemuniform boundsevaluation mapsregularity liftingSobolev-embedding theoremsNewton-embedding procedure

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) Second-order elliptic equations (35J15) Weak solutions to PDEs (35D30) Semilinear elliptic equations (35J61)

Cites Work

• A Newton-imbedding procedure for solutions of semilinear boundary value problems in Sobolev spaces

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