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Infinitely many radial solutions to a boundary value problem in a ball
Authors:Anna Capietto  Walter Dambrosio  Fabio Zanolin
Affiliation:(1) Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, 10123 Torino, Italy;(2) Dipartimento di Matematica e Informatica, Università di Udine, Via delle Scienze 206, 33100 Udine, Italy
Abstract:In this paper we are concerned with the existence and multiplicity of radial solutions to the BVP ></img>                                </span>                              </span> where<span class=B is an open ball in ?K and u??·(a(|?u|)?u) is a nonlinear differential operator (e.g. the plaplacian or the mean curvature operator). The function f is defined in a neighborhood of u=0 and satisfies a «sublinear»-type growth condition for u→0. We use a degree approach combined with a time-map technique. Multiplicity results are obtained also for nonlinearities of concave-convex type.
Keywords:
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