一类超线性椭圆方程的无穷多解

刘轼波;李树杰

数学学报 ›› 2003, Vol. 46 ›› Issue (4) : 625-630.

数学学报 ›› 2003, Vol. 46 ›› Issue (4) : 625-630. DOI: 10.12386/A2003sxxb0084
论文

一类超线性椭圆方程的无穷多解

    刘轼波;李树杰
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Infinitely Many Solutions for a Superlinear Elliptic Equation

    Shi Bo LIU,Shu Jie LI
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摘要

本文研究了一类超线性椭圆方程,这里的非线性项是奇的.我们不需要假设Ambrosetti-Rabinowitz条件,得到了无穷多个大能量解的存在性.我们的结论推广了邹文明最近的结果。

Abstract

In this paper, we consider a superlinear elliptic equation, where the non-linearity is odd. Under no Ambrosetti-Rabinowitz's condition, infinitely many large energy solutions are obtained. Our result generalizes the recent result of Zou W. M..

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超线性 / Cerami条件 / 喷泉定理

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刘轼波;李树杰. 一类超线性椭圆方程的无穷多解. 数学学报, 2003, 46(4): 625-630 https://doi.org/10.12386/A2003sxxb0084
Shi Bo LIU,Shu Jie LI. Infinitely Many Solutions for a Superlinear Elliptic Equation. Acta Mathematica Sinica, Chinese Series, 2003, 46(4): 625-630 https://doi.org/10.12386/A2003sxxb0084

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