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Multiple solutions for nonlinear boundary value problems of Kirchhoff type on a double phase setting

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Author(s):
Fiscella, Alessio ; Marino, Greta ; Pinamonti, Andrea ; Verzellesi, Simone
Total Authors: 4
Document type: Journal article
Source: REVISTA MATEMATICA COMPLUTENSE; v. N/A, p. 32-pg., 2023-01-09.
Abstract

This paper deals with some classes of Kirchhoff type problems on a double phase setting and with nonlinear boundary conditions. Under general assumptions, we provide multiplicity results for such problems in the case when the perturbations exhibit a suitable behavior in the origin and at infinity, or when they do not necessarily satisfy the Ambrosetti-Rabinowitz condition. To this aim, we combine variational methods, truncation arguments and topological tools. (AU)

FAPESP's process: 19/02512-5 - Systems and partial differential equations
Grantee:Marcelo da Silva Montenegro
Support Opportunities: Research Projects - Thematic Grants