S. N. Oshchepkova, O. M. Penkin, D. Savasteev, “Strong Maximum Principle for an Elliptic Operator on a Stratified Set”, Mat. Zametki, 2012, Volume 92, Issue 2,Pages <nobr>276

This article is cited in 3 papers

Strong Maximum Principle for an Elliptic Operator on a Stratified Set

S. N. Oshchepkova^a, O. M. Penkin^a, D. Savasteev

^a Belgorod State University

Abstract: We derive a necessary condition for an extremum for functions on stratified sets in terms of integrals of the normal derivative over spheres and use this condition to prove the strong maximum principle for the divergence operator on a stratified set.

Keywords: stratified set, extremum, necessary condition, divergence operator, strong maximum principle.

UDC: 517.956.4

Received: 18.06.2010

DOI: 10.4213/mzm8882