Infinitely Many Solutions of Superlinear Elliptic Equation

By Anmin Mao, Yang Li. 2013

59 citations recorded by the source corpus.

Via the Fountain theorem, we obtain the existence of infinitely many solutions of the following superlinear elliptic boundary value problem: in on , where is a bounded domain with smooth boundary and is odd in and continuous. There is no assumption near zero on the behavior of the nonlinearity , and does not satisfy the Ambrosetti-Rabinowitz type technical condition near infinity.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a17f4c350f01325ff0e1f798b31134bf4b498207

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In Applied Mathematics

1. Nguyen Huong Lam
2. G. Lu
3. Caifeng Zhang
4. Hanli Tang
5. Y. Yang
6. Federica Sani
7. Jiuyi Zhu
8. Lu Zhang

In Mathematical Physics

1. Nguyen Huong Lam
2. G. Lu
3. Hanli Tang
4. Caifeng Zhang
5. Y. Yang

Citations in the corpus

• N-Laplacian Equations in ℝN with Subcritical and Critical GrowthWithout the Ambrosetti-Rabinowitz Condition (2013, background): “2) by trying to drop the (AR) condition, see for instance [20, 22, 36, 37, 38, 34, 31, 35, 41, 43, 47, 49, 51].”