Symmetry breaking and Morse index of solutions of nonlinear elliptic problems in the plane

dc.contributorUniversità di Sassari
dc.contributorUniversità di Roma la Sapienza
dc.contributorUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2018-12-11T16:59:30Z
dc.date.available2018-12-11T16:59:30Z
dc.date.created2018-12-11T16:59:30Z
dc.date.issued2016-10-01
dc.identifierCommunications in Contemporary Mathematics, v. 18, n. 5, 2016.
dc.identifier0219-1997
dc.identifierhttp://hdl.handle.net/11449/172277
dc.identifier10.1142/S021919971550087X
dc.identifier2-s2.0-84949491888
dc.description.abstractIn this paper, we study the problem {equation presented} where B1 is the unit ball of R2, f is a smooth nonlinearity and α, λ are real numbers with α > 0. From a careful study of the linearized operator, we compute the Morse index of some radial solutions to (P). Moreover, using the bifurcation theory, we prove the existence of branches of nonradial solutions for suitable values of the positive parameter λ. The case f(λ,u) = λeu provides more detailed informations.
dc.languageeng
dc.relationCommunications in Contemporary Mathematics
dc.relation1,668
dc.rightsAcesso restrito
dc.sourceScopus
dc.subjectBifurcation theory
dc.subjectMorse index
dc.subjectnonradial solutions
dc.titleSymmetry breaking and Morse index of solutions of nonlinear elliptic problems in the plane
dc.typeArtículos de revistas


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