2006 Smooth bifurcation for variational inequalities based on Lagrange multipliers
Jan Eisner, Milan Kučera, Lutz Recke
Differential Integral Equations 19(9): 981-1000 (2006). DOI: 10.57262/die/1356050328

Abstract

We prove a bifurcation theorem of Crandall-Rabinowitz type (local bifurcation of smooth families of nontrivial solutions) for general variational inequalities on possibly nonconvex sets with infinite-dimensional bifurcation parameter. The result is based on local equivalence of the inequality to a smooth equation with Lagrange multipliers, on scaling techniques and on an application of the implicit function theorem. As an example, we consider a semilinear elliptic PDE with nonconvex unilateral integral conditions on the boundary of the domain.

Citation

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Jan Eisner. Milan Kučera. Lutz Recke. "Smooth bifurcation for variational inequalities based on Lagrange multipliers." Differential Integral Equations 19 (9) 981 - 1000, 2006. https://doi.org/10.57262/die/1356050328

Information

Published: 2006
First available in Project Euclid: 21 December 2012

zbMATH: 1212.35174
MathSciNet: MR2262092
Digital Object Identifier: 10.57262/die/1356050328

Subjects:
Primary: 35J85
Secondary: 35B32 , 47J15 , 49J40

Rights: Copyright © 2006 Khayyam Publishing, Inc.

Vol.19 • No. 9 • 2006
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