Displaying similar documents to “An existence theorem for parabolic equations on N with discontinuous nonlinearity.”

Discontinuous elliptic problems in N without monotonicity assumptions

Silvia Cingolani, Monica Lazzo (2001)

Commentationes Mathematicae Universitatis Carolinae

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We prove existence of a positive, radial solution for a semilinear elliptic problem with a discontinuous nonlinearity. We use an approximating argument which requires no monotonicity assumptions on the nonlinearity.

Multiple solutions of semilinear elliptic systems

Yang Jianfu (1998)

Commentationes Mathematicae Universitatis Carolinae

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We obtain in this paper a multiplicity result for strongly indefinite semilinear elliptic systems in bounded domains as well as in N .

Existence and uniqueness for dynamical unilateral contact with Coulomb friction : a model problem

Patrick Ballard, Stéphanie Basseville (2005)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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A simple dynamical problem involving unilateral contact and dry friction of Coulomb type is considered as an archetype. We are concerned with the existence and uniqueness of solutions of the system with Cauchy data. In the frictionless case, it is known [Schatzman, Nonlinear Anal. Theory, Methods Appl. 2 (1978) 355–373] that pathologies of non-uniqueness can exist, even if all the data are of class C . However, uniqueness is recovered provided that the data are analytic [Ballard, Arch....