Solutions with prescribed mass for the p-Laplacian Schrödinger-Poisson system with critical growth

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F26%3A0198534" target="_blank" >RIV/00216305:26220/26:0198534 - isvavai.cz</a>

Result on the web

<a href="https://www.sciencedirect.com/science/article/pii/S0022039625005972" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0022039625005972</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jde.2025.113570" target="_blank" >10.1016/j.jde.2025.113570</a>

Result language

angličtina

Original language name

Solutions with prescribed mass for the p-Laplacian Schrödinger-Poisson system with critical growth

Original language description

In this paper, we focus on the existence and multiplicity of solutions for the p-Laplacian Schrödinger-Poisson system {−Δpu+γϕ|u|p−2u=λ|u|p−2u+μ|u|q−2u+|u|pu,inR3,−Δϕ=|u|p,inR3, with a prescribed mass given by ∫R3|u|pdx=ap, in the Sobolev critical case, where, 1<p<3,a>0, and γ>0, μ>0 are parameters, [Formula presented] is the Sobolev critical exponent, and λ∈R is an undetermined parameter, acting as a Lagrange multiplier. We investigate this system under the Lp-subcritical perturbation μ|u|q−2u, with [Formula presented], and establish the existence of multiple normalized solutions using the truncation technique, concentration-compactness principle, and genus theory. In the Lp-supercritical regime: [Formula presented], we prove two existence results for normalized solutions under different assumptions for the parameters γ,μ, by employing the Pohozaev manifold analysis, concentration-compactness principle and mountain pass theorem. This study presents new contributions regarding the existence and multiplicity of normalized solutions of the p-Laplacian critical Schrödinger-Poisson problem, perturbed with a subcritical term in the whole space R3, for the first time.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2025

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Differential Equations

ISSN

0022-0396

e-ISSN

1090-2732

Volume of the periodical

443

Issue of the periodical within the volume

11

Country of publishing house

US - UNITED STATES

Number of pages

51

Pages from-to

1-51

UT code for WoS article

001523302100001

EID of the result in the Scopus database

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