<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The boundary value problem for a differential equation with one dimensional p-Laplacian is studied. The technique of lower and upper solutions is used. The existence of a solution for well ordered and unordered case as well as the existence of multiple solutions are proved. The growth condition is assumed only on a part of the nonlinearity.</p></abstract>

The boundary value problem for a differential equation with one dimensional p-Laplacian is studied. The technique of lower and upper solutions is used. The existence of a solution for well ordered and unordered case as well as the existence of multiple solutions are proved. The growth condition is assumed only on a part of the nonlinearity.

The Existence of Multiple Solutions for Boundary Value Problem with One Dimensional p-Laplacian

Department of Mathematics, FEI STU, Mlynská dolina, SK–812-19 Bratislava, SLOVAKIA

Tatra Mountains Mathematical Publications

The boundary value problem for a differential equation with one dimensional p-Laplacian is studied. The technique of lower and upper solutions is used. The...

The Existence of Multiple Solutions for Boundary Value Problem with One Dimensional p-Laplacian

Published Online: Jul 04, 2013

Page range: 153 - 163

DOI: https://doi.org/10.2478/tmmp-2013-00012

This content is open access.