Multiple solutions of the Kirchhoff-type problem in RN

Multiple solutions of the Kirchhoff-type problem in RN

In this paper, we concern with a class of quasilinear Kirchhoff-type problem. By using the Ekeland’s Variational Principle and Mountain Pass Theorem, the existence of multiple solutions is obtained. Besides, we also take this problem as an example to give the main frame of using critical point theor...

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Veröffentlicht in:Applied mathematics and nonlinear sciences 2016-04, Vol.1 (1), p.229-238
1. Verfasser: Jin, Jiahua
Format: Artikel
Sprache:eng
Schlagworte:
(ps) sequence
35J62
58E05
58K05
Ekeland’s Variational Principle
Kirchhoff-type problem
Mountain Pass Theorem
sequence
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Beschreibung
Zusammenfassung:In this paper, we concern with a class of quasilinear Kirchhoff-type problem. By using the Ekeland’s Variational Principle and Mountain Pass Theorem, the existence of multiple solutions is obtained. Besides, we also take this problem as an example to give the main frame of using critical point theory to find the weak solutions of nonlinear partial differential equation.
ISSN:2444-8656
DOI:10.21042/AMNS.2016.1.00017