Global Continuation for Quasilinear Elliptic Systems on ℝN and the Equations of Elastostatics-Reference-Cited by-同舟云学术

Global Continuation for Quasilinear Elliptic Systems on ℝN and the Equations of Elastostatics

Published:2009-11-01 Issue:4 Volume:9 Page:727-762
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Gebran Hicham G.¹,Stuart Charles A.²

Affiliation:

1. Department of Mathematics Notre Dame University, Lebanon

2. IACS-FSB, Section de mathématiques, EPFL, CH-1015 Lausanne, Switzerland

Abstract

Abstract We consider quasilinear systems of second order elliptic equations on ℝN. Using a continuation theorem based on the topological degree for C1 - Fredholm maps, we derive global properties of a maximal connected set of solutions which decay exponentially to zero at in¯nity. These results are used to treat a problem concerning the equilibrium of an elastic body occupying the whole space and subjected to a one parameter family of localized external forces.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2009-0408/pdf

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