Multiple nontrivial solutions for some fourth-order semilinear elliptic problems

By Jihui Zhang, Shujie Li. 2005

92 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/d675aad83d10728446f39eff86e2febe70fe59ce

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Xian Wu
2. Abdelrachid El Amrouss
3. Jianwen Zhou
4. Anass Ourraoui
5. Hongyu Ye
6. Zhisu Liu
7. Shangjiang Guo
8. Giovany M. Figueiredo

In Mathematical Physics

1. Xian Wu
2. Anass Ourraoui
3. Hongyu Ye

Citations in the corpus

• Existence of solutions for a boundary problem involving p(x)-biharmonic operator (2012, background): “Many authors consider the existence of multiple nontrivial solutions for some fourth order problems [11,16].”
• Sign-changing solutions for some fourth-order nonlinear elliptic problems (2008, background): “Zhang and Li [7] proved the existence of multiple nontrivial solutions by means of Morse theory and local linking.”
• Nonuniformly nonlinear elliptic equations of p-biharmonic type (2008, unknown): “And existence and multiplicity of solutions of nonlinear fourth order differential equations have been deserved a great deal of interest (see [3–5,7,8,10,14,17,20,21]).”