Existence and Nonexistence of Solutions to p -Laplacian Problems on Unbounded Domains

Jeongmi Jeong, Chan-Gyun Kim and Eun Kyoung Lee
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Jeongmi Jeong: Department of Mathematics, Pusan National University, Busan 609-735, Korea
Chan-Gyun Kim: Department of Mathematics Education, Pusan National University, Busan 609-735, Korea
Eun Kyoung Lee: Department of Mathematics Education, Pusan National University, Busan 609-735, Korea

Mathematics, 2019, vol. 7, issue 5, 1-11

Abstract: In this article, using a fixed point index theorem on a cone, we prove the existence and multiplicity results of positive solutions to a one-dimensional p -Laplacian problem defined on infinite intervals. We also establish the nonexistence results of nontrivial solutions to the problem.

Keywords: p -Laplacian; multiplicity of positive solutions; exterior domain (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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