Strictly positive solutions for one-dimensional nonlinear problems involving the p-Laplacian

Authors

  • U. Kaufmann
  • I. Medri

Keywords:

elliptic one-dimensional problems, indefinite nonlinearities, p-Laplacian, strictly positive solutions

Abstract

Let Ω be a bounded open interval, and let p>1 and q∈(0,p-1). Let m∈L^{p′}(Ω) and 0≤c∈L^{∞}(Ω). We study existence of strictly positive solutions for elliptic problems of the form -(|u′|^{p-2}u′)′+c(x)u^{p-1}=m(x)u^{q} in Ω, u=0 on ∂Ω. We mention that our results are new even in the case c≡0. 10.1017/S0004972713000725

Published

2014-01-27

Issue

Vol. 89 No. 2 (2014)

Section

Articles
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