<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

Multiple solutions of the Kirchhoff-type problem in <italic>R<sup>N</sup></italic>

Yunnan University of Finance and Economics

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Multiple solutions of the Kirchhoff-type problem in 

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...

Multiple solutions of the Kirchhoff-type problem in R^N

Pubblicato online: 05 apr 2016

Pagine: 229 - 238

Ricevuto: 04 gen 2016

Accettato: 05 apr 2016

DOI: https://doi.org/10.21042/AMNS.2016.1.00017

Parole chiave
Mountain Pass Theorem, Ekeland’s Variational Principle, Kirchhoff-type problem, () sequence

© 2016 Jiahua Jin, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Multiple solutions of the Kirchhoff-type problem in RN

Pubblicato online: 05 apr 2016

Pagine: 229 - 238

Ricevuto: 04 gen 2016

Accettato: 05 apr 2016

DOI: https://doi.org/10.21042/AMNS.2016.1.00017

Parole chiaveMountain Pass Theorem, Ekeland’s Variational Principle, Kirchhoff-type problem, () sequence

© 2016 Jiahua Jin, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Multiple solutions of the Kirchhoff-type problem in R^N

Parole chiave
Mountain Pass Theorem, Ekeland’s Variational Principle, Kirchhoff-type problem, () sequence