Existence of ground state solutions for critical quasilinear Schrödinger equations with steep potential well
Abstract: We study the existence of solutions for the quasilinear Schrödinger equation with the critical exponent and steep potential well. By using a change of variables, the quasilinear equations are reduced to a semilinear one, whose associated functionals satisfy the geometric conditions of the Mountain Pass Theorem for suitable assumptions. The existence of a ground state solution is obtained, and its concentration behavior is also considered.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Existence of ground state solutions for critical quasilinear Schrödinger equations with steep potential well ; volume:22 ; number:1 ; year:2022 ; pages:619-634 ; extent:16
Advanced nonlinear studies ; 22, Heft 1 (2022), 619-634 (gesamt 16)
- Creator
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Xue, Yan-Fang
Zhong, Xiao-Jing
Tang, Chun-Lei
- DOI
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10.1515/ans-2022-0030
- URN
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urn:nbn:de:101:1-2022110613043453985129
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:32 AM CEST
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Associated
- Xue, Yan-Fang
- Zhong, Xiao-Jing
- Tang, Chun-Lei
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