Concentration of ground state solutions for supercritical zero-mass (N, q)-equations of Choquard reaction
Loading...
Date
2024-12-04
Authors
Shen, Liejun
Radulescu, Vicentiu
ORCID
0000-0003-4615-5537Advisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Nature
Altmetrics
Abstract
We study the following singularly perturbed (N, q)-equation of Choquard type (Formula presented.) where ru=div(|u|r-2u) denotes the usual r-Laplacian operator with r{q,N} and 1<q[removed]0 is a sufficiently small parameter, KC0(RN) satisfies some technical assumptions, 0<<N and F is the primitive of f that fulfills a supercritical exponential growth in the Trudinger–Moser sense. Due to the new version of Trudinger–Moser type inequality introduced in Shen and Rădulescu (Zero-mass (N, q)-Laplacian equation with Stein-Weiss convolution part in RN: supercritical exponential case. submitted), we aim to derive the existence and concentration of ground state solutions for the given equation using variational method, where the concentrating phenomenon appears at the maximum point set of K as 0+.
Description
Citation
MATHEMATISCHE ZEITSCHRIFT. 2024, vol. 308, issue October, p. 1-46.
https://link.springer.com/article/10.1007/s00209-024-03620-7
https://link.springer.com/article/10.1007/s00209-024-03620-7
Document type
Peer-reviewed
Document version
Published version
Date of access to the full text
Language of document
en