Multiple bounded variation solutions of a capillarity problem

Franco Obersnel; Pierpaolo Omari

doi:10.3934/proc.2011.2011.1129

Article Contents

2011, Volume 2011: 1129-1137. Doi: 10.3934/proc.2011.2011.1129 open access

This issue Previous Article On the global stability of an SIRS epidemic model with distributed delays Next Article On a result of C.V. Coffman and W.K. Ziemer about the prescribed mean curvature equation

Multiple bounded variation solutions of a capillarity problem

Franco Obersnel^1, and
Pierpaolo Omari^1,

1.
Dipartimento di Matematica e Informatica, Università degli Studi di Trieste, Via A. Valerio 12/1, 34127 Trieste

Received: June 30, 2010

Revised: July 31, 2010

Published: August 2017

Abstract Related Papers Cited by

Abstract

We discuss existence and multiplicity of bounded variation solutions of the non-homogeneous Neumann problem for the prescribed mean curvature equation

-div$(\nabla u/\sqrt(1+|\nablau|^2))=g(x,u)+h$ in $\Omega$
-$\nablau*v/\sqrt(1+|\nablau|^2)=k$ on $\partial\Omega$ where $g(x, s)$ is periodic with respect to $s$. Our approach is variational and makes use of non-smooth critical point theory in the space of bounded variation functions.

Keywords:

Mathematics Subject Classification: Primary: 35J25, 35J20, 35J66, 53A10, 49Q20; Secondary: 76B45, 76D45.

Citation:

Article Metrics

HTML views() PDF downloads(89) Cited by(0)

Multiple bounded variation solutions of a capillarity problem

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Multiple bounded variation solutions of a capillarity problem

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content