Perturbation and bifurcation in a free boundary problem

DOI10.1016/0022-0396(82)90053-5zbMath0519.35078OpenAlexW1999624184MaRDI QIDQ1054908

Bernard A. Fleishman, Roger K. Alexander

Publication date: 1982

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(82)90053-5

zbMATH Keywords

implicit function theoremdiscontinuous nonlinearityperturbation of the boundary conditions

Mathematics Subject Classification ID

Perturbations in context of PDEs (35B20) Free boundary problems for PDEs (35R35) Bifurcations in context of PDEs (35B32)

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Cites Work

• Eigenvalue problems for noncontinuous operators associated with quasilinear elliptic equations
• A global theory of steady vortex rings in an ideal fluid
• Bifurcation from simple eigenvalues
• A Variational Method for Boundary Value Problems with Discontinuous Nonlinearities
• Bifurcation analysis for a class of problems with a free boundary
• A discontinuous nonlinear eigenvalue/Free boundary problem
• Combinatorial inequalities and smoothness of functions
• Analytic methods for approximate solution of elliptic free boundary problems
• The obstacle problem and partial differential equations with discontinuous nonlinearities
• Equivalent Norms for Sobolev Spaces
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