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

Boris Rudolf

doi:10.2478/tmmp-2013-00012

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

Tatra Mountains Mathematical Publications

Volume 54 (2013): Issue 1 (April 2013)

By: Boris Rudolf

Open Access

|Jul 2013

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.

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