Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 186, Issue -, Pages 55-73Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2018.11.003
Keywords
Elliptic problems on manifolds; Hyperbolic space; Poincare model; Variational methods; Multiple solutions
Categories
Funding
- Italian MIUR project Variational methods
Ask authors/readers for more resources
In this paper we study the existence of (weak) solutions for some Kirchhoff-type problems whose simple prototype is given by {-(a + b integral(B)vertical bar del(H)u(sigma)vertical bar(2) d mu) Delta(H)u = lambda f(u) in B-R u = 0 on partial derivative B-R, where Delta(H) denotes the Laplace-Beltrami operator on the ball model of the Hyperbolic space B-N (with N >= 3), a, b and lambda are real parameters, B-R subset of B-N is a geodesic ball centered in zero of radius R and f is a subcritical continuous function. The Kirchhoff term is allowed to vanish at the origin covering the degenerate case. The main technical approach is based on variational and topological methods. (C) 2018 Published by Elsevier Ltd.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available