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

DOI10.1080/17476930600738543zbMath1128.35042OpenAlexW2154180394MaRDI QIDQ3423546

George C. Hsiao

Publication date: 14 February 2007

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

Full work available at URL: https://doi.org/10.1080/17476930600738543

zbMATH Keywords

a priori estimateNonlinear problemBoundary integral equationsVariational formulationNewton-imbedding iteration

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) A priori estimates in context of PDEs (35B45) Fredholm integral equations (45B05) Variational methods for second-order elliptic equations (35J20)

Related Items (2)

The nonlinear Poisson equation via a Newton-embedding procedure ⋮ Detection of high codimensional bifurcations in variational PDEs

Cites Work

• On the boundary element method for some nonlinear boundary value problems
• On the collocation method for a nonlinear boundary integral equation
• The Hilbert boundary value problem for nonlinear elliptic systems
• Nonlinear boundary value problems of Riemann-Hilbert type

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