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Volume 29, Issue 1
Superlinear Fourth-Order Elliptic Problem Without Ambrosetti and Rabinowitz Growth Condition

Yuanhong Wei, Xiaojun Chang & Yue Lü

Commun. Math. Res., 29 (2013), pp. 23-31.

Published online: 2021-05

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  • Abstract

This paper deals with superlinear fourth-order elliptic problem under Navier boundary condition. By using the mountain pass theorem and suitable truncation, a multiplicity result is established for all $λ > 0$ and some previous result is extended.

  • Keywords

fourth-order elliptic problem, variational method, mountain pass theorem, Navier boundary condition.

  • AMS Subject Headings

35J30, 35J35

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-29-23, author = {Wei , YuanhongChang , Xiaojun and Lü , Yue}, title = {Superlinear Fourth-Order Elliptic Problem Without Ambrosetti and Rabinowitz Growth Condition}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {29}, number = {1}, pages = {23--31}, abstract = {

This paper deals with superlinear fourth-order elliptic problem under Navier boundary condition. By using the mountain pass theorem and suitable truncation, a multiplicity result is established for all $λ > 0$ and some previous result is extended.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19025.html} }
TY - JOUR T1 - Superlinear Fourth-Order Elliptic Problem Without Ambrosetti and Rabinowitz Growth Condition AU - Wei , Yuanhong AU - Chang , Xiaojun AU - Lü , Yue JO - Communications in Mathematical Research VL - 1 SP - 23 EP - 31 PY - 2021 DA - 2021/05 SN - 29 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19025.html KW - fourth-order elliptic problem, variational method, mountain pass theorem, Navier boundary condition. AB -

This paper deals with superlinear fourth-order elliptic problem under Navier boundary condition. By using the mountain pass theorem and suitable truncation, a multiplicity result is established for all $λ > 0$ and some previous result is extended.

Wei , YuanhongChang , Xiaojun and Lü , Yue. (2021). Superlinear Fourth-Order Elliptic Problem Without Ambrosetti and Rabinowitz Growth Condition. Communications in Mathematical Research . 29 (1). 23-31. doi:
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