Unilateral global bifurcation for $p$-Laplacian with non-$p-$1-linearization nonlinearity

Guowei Dai; Ruyun Ma

doi:10.3934/dcds.2015.35.99

Article Contents

2015, Volume 35, Issue 1: 99-116. Doi: 10.3934/dcds.2015.35.99

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Unilateral global bifurcation for $p$-Laplacian with non-$p-$1-linearization nonlinearity

Guowei Dai^1, and
Ruyun Ma^1,

1.
Department of Mathematics, Northwest Normal University, Lanzhou, 730070

Received: February 2013

Revised: June 2014

Published: January 2015

Abstract / Introduction Related Papers Cited by

Abstract

In this paper, we establish a unilateral global bifurcation result from interval for a class of $p$-Laplacian problems. By applying above result, we study the spectrum of a class of half-quasilinear problems. Moreover, we also investigate the existence of nodal solutions for a class of half-quasilinear eigenvalue problems.

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Mathematics Subject Classification: Primary: 34C10; Secondary: 34C23.

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