Prescribed energy solutions to some scaled problems via a scaled Nehari manifold

We prove the existence, multiplicity, and bifurcation of solutions with prescribed energy for a broad class of scaled problems by introducing a suitable notion of scaling based Nehari manifold. Applications are given to Schr"{o}dinger--Poisson--Slater type equations.

Publication Details

Journal
ArXiv.org
Published
2025-03-17
Primary Topic
Nonlinear Partial Differential Equations
Type
article
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article

Prescribed energy solutions to some scaled problems via a scaled Nehari manifold

ArXiv.org
Nonlinear Partial Differential Equations
article

Prescribed energy solutions to some scaled problems via a scaled Nehari manifold

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Abstract

We prove the existence, multiplicity, and bifurcation of solutions with prescribed energy for a broad class of scaled problems by introducing a suitable notion of scaling based Nehari manifold. Applications are given to Schr\"{o}dinger--Poisson--Slater type equations.

ArXiv.org
Affordable and clean energy
Openalex Percentile: Top 39%
Nonlinear Partial Differential Equations
Open Access PDFOpenAlex
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Prescribed energy solutions to some scaled problems via a scaled Nehari manifold · ArXiv.org (2025) | TGRS Research Map | TGRS