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Title: Nodal solutions for (p, 2)-equations
Author: Aizicovici, S.
Papageorgiou, N. S.
Staicu, V.
Keywords: Nodal and constant sign solutions
Critical groups
Strong comparison principle
Critical point of mountain pass type
Shifting theorem
Morse relation
Local minimizers
Issue Date: Oct-2015
Publisher: American Mathematical Society
Abstract: In this paper, we study a nonlinear elliptic equation driven by the sum of a p-Laplacian and a Laplacian ((p, 2)-equation), with a Carathéodory (p − 1)-(sub-)linear reaction. Using variational methods combined with Morse theory, we prove two multiplicity theorems providing precise sign information for all the solutions (constant sign and nodal solutions). In the process, we prove two auxiliary results of independent interest.
Peer review: yes
DOI: 10.1090/S0002-9947-2014-06324-1
ISSN: 0002-9947
Appears in Collections:CIDMA - Artigos
FAAG - Artigos

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