Concentration of solutions for non-autonomous double-phase problems with lack of compactness
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Date
2024-07-20
Authors
zhang, Weiqiang
Zuo, Jiabin
Radulescu, Vicentiu
ORCID
0000-0003-4615-5537Advisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Nature
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Abstract
The present paper is devoted to the study of the following double-phase equation (Formula presented.) where N2, 1<p<q<N, q<p with p=NpN-p, :RNR is a continuous non-negative function, (x)=(x), V:RNR is a positive potential satisfying a local minimum condition, V(x)=V(x), and the nonlinearity f:RR is a continuous function with subcritical growth. Under natural assumptions on , V and f, by using penalization methods and LusternikāSchnirelmann theory we first establish the multiplicity of solutions, and then, we obtain concentration properties of solutions.
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Citation
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK. 2024, vol. 75, issue 7, p. 1-30.
https://link.springer.com/article/10.1007/s00033-024-02290-z
https://link.springer.com/article/10.1007/s00033-024-02290-z
Document type
Peer-reviewed
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Published version
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en