Existence of solutions for semilinear nonlocal elliptic problems via a Bolzano theorem Articles uri icon

authors

  • Arcoya, David
  • LEONORI, TOMMASO
  • PRIMO, ANA

publication date

  • October 2013

start page

  • 87

end page

  • 104

issue

  • 1

volume

  • 127

International Standard Serial Number (ISSN)

  • 0167-8019

Electronic International Standard Serial Number (EISSN)

  • 1572-9036

abstract

  • In this paper we deal with the existence of positive solutions for the following nonlocal type of problems {-Delta u = sigma/(integral Omega g(u) dx)(p) f(u) in Omega, u>0 in Omega, u=0 in partial derivative Omega, where Omega is a bounded smooth domain in R-N (N >= 1), f, g are continuous positive functions, sigma > 0 and p is an element of R. We give sufficient conditions on the functions f and g in order to have existence of positive solutions.

keywords

  • semilinear elliptic equations; nonlocal equations; bifurcation methods