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Open Access Research

Solvability of boundary value problem with p-Laplacian at resonance

Weihua Jiang

Author Affiliations

College of Sciences, Hebei University of Science and Technology, Shijiazhuang, Hebei, 050018, P.R. China

Boundary Value Problems 2014, 2014:36  doi:10.1186/1687-2770-2014-36

Published: 7 February 2014

Abstract

By generalizing the extension of the continuous theorem of Ge and Ren and constructing suitable Banach spaces and operators, we investigate the existence of solutions for p-Laplacian boundary value problems at resonance. An example is given to illustrate our results.

MSC: 34B15.

Keywords:
continuous theorem; resonance; p-Laplacian; boundary value problem