An approximate bifurcation function and existence of solutions for semilinear elliptic PDEs

DOI10.1016/j.na.2004.09.001zbMath1224.65261OpenAlexW2083097452MaRDI QIDQ999997

Changbum Chun

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.09.001

zbMATH Keywords

existencefinite element approximationssemilinear elliptic boundary value problembifurcation function

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Bifurcations in context of PDEs (35B32) Semilinear elliptic equations (35J61)

Cites Work

• A principle of reduced stability for reaction-diffusion equations
• Multiple solutions for a semilinear boundary value problem: a computational multiplicity proof.
• Computation of Morse decompositions for semilinear elliptic PDEs
• Approximation of the bifurcation function for elliptic boundary value problems
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