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Orlicz-Sobolev空间上对称及非对称拟线性椭圆方程的多解性（英文） 被引量：1

MULTIPLE SOLUTIONS FOR SYMMETRIC AND NON-SYMMETRIC QUASILINEAR ELLIPTIC EQUATIONS: AN ORLICZ-SOBOLEV SPACE SETTING
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摘要 本文研究了具光滑边界的有界域上拟线性椭圆问题的多解性.在Orlicz-Sobolev空间中利用变分及扰动的方法,得到了方程在对称及非对称情况下解的存在性和多解性. In this paper, we study multiplicity of solutions for the quasilinear elliptic problem in a bounded domain with smooth boundary. By using variational and perturbed methods in Orlicz-Sobolev space, we prove the existence of multiple solutions both in symmetric and nonsymmetric case.
作者 杨阳 张吉慧 尚旭东 邵益新
机构地区 江南大学理学院 南京师范大学数学科学学院 南京师范大学泰州学院数科院
出处 《数学杂志》 CSCD 北大核心 2015年第4期779-788,共10页 Journal of Mathematics
基金 supported by NSFC-Tian Yuan Special Foundation(11226116) Natural Science Foundation of Jiangsu Province of China for Young Scholar(BK2012109) the China Scholarship Council(201208320435) the Fundamental Research Funds for the Central Universities(JUSRP11118) supported by NSFC(10871096) supported by Graduate Education Innovation of Jiangsu Province(CXZZ13-0389)
关键词 ORLICZ-SOBOLEV空间 拟线性椭圆方程 扰动方法 对称性 Orlicz-Sobolev spaces quasilinear elliptic equations perturbed methods symmetry
分类号 O175.25 [理学—基础数学]
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参考文献14

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数学杂志
2015年 第4期

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