Elliptic Neumann problems with highly discontinuous nonlinearities

This paper investigates nonlinear differential problems involving the p-Laplace operator and subject to Neumann boundary value conditions whereby the right-hand side consists of a nonlinearity which is highly discontinuous. Using variational methods suitable for nonsmooth functionals, we prove the e...

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Bibliographic Details
Published in:Applied mathematics letters 2025-04, Vol.163, p.109455, Article 109455
Main Authors: D’Aguì, Giuseppina, Morabito, Valeria, Winkert, Patrick
Format: Article
Language:English
Subjects:
Discontinuous nonlinearity
Multiple solution
Neumann problem
Nonsmooth analysis
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Summary:This paper investigates nonlinear differential problems involving the p-Laplace operator and subject to Neumann boundary value conditions whereby the right-hand side consists of a nonlinearity which is highly discontinuous. Using variational methods suitable for nonsmooth functionals, we prove the existence of at least two nontrivial weak solutions of such problems.
ISSN:0893-9659
DOI:10.1016/j.aml.2025.109455