Publication detail

Normalized solutions for (p,q)-Laplacian equations with mass supercritical growth

CAI, L. RADULESCU, V.

Original Title

Normalized solutions for (p,q)-Laplacian equations with mass supercritical growth

Type

journal article in Web of Science

Language

English

Original Abstract

In this paper, we study the following (p,q)-Laplacian equation with Lp-constraint: {−Δpu−Δqu+λ|u|p−2u=f(u),inRN,∫R|u|pdx=cp,u∈W1,p(RN)∩W1,q(RN), where 10 is a constant. The nonlinearity f is assumed to be continuous and satisfying weak mass supercritical conditions. The purpose of this paper is twofold: to establish the existence of ground states, and to reveal the basic behavior of the ground state energy Ec as c>0 varies. Moreover, we introduce a new approach based on the direct minimization of the energy functional on the linear combination of Nehari and Pohozaev constraints intersected with the closed ball of radius cp in Lp(RN). The analysis developed in this paper allows to provide the general growth assumptions imposed to the reaction f.

Keywords

(p,q)-Laplacian; General nonlinearity; Ground state; Mass supercritical case; Normalized solutions

Authors

CAI, L.; RADULESCU, V.

Released

15. 5. 2024

ISBN

1090-2732

Periodical

Journal of Differential Equations

Year of study

391

Number

2024

State

United States of America

Pages from

57

Pages to

104

Pages count

48

URL

https://www-sciencedirect-com.ezproxy.lib.vutbr.cz/science/article/pii/S0022039624000536?via%3Dihub

BibTex

@article{BUT188254,
  author="Li {Cai} and Vicentiu {Radulescu}",
  title="Normalized solutions for (p,q)-Laplacian equations with mass supercritical growth",
  journal="Journal of Differential Equations",
  year="2024",
  volume="391",
  number="2024",
  pages="57--104",
  doi="10.1016/j.jde.2024.01.041",
  issn="1090-2732",
  url="https://www-sciencedirect-com.ezproxy.lib.vutbr.cz/science/article/pii/S0022039624000536?via%3Dihub"
}