| Orlicz-Sobolev空间上对称及非对称拟线性椭圆方程的多解性 |
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| 引用本文： | 杨阳,张吉慧,尚旭东,邵益新. Orlicz-Sobolev空间上对称及非对称拟线性椭圆方程的多解性[J]. 数学杂志, 2015, 35(4): 779-788 |
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| 作者姓名： | 杨阳 张吉慧 尚旭东 邵益新 |
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| 作者单位： | 江南大学理学院, 江苏 无锡 214122,南京师范大学数学科学学院, 江苏 南京 210046,南京师范大学泰州学院数科院, 江苏 泰州 225300,江南大学理学院, 江苏 无锡 214122 |
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| 基金项目： | The first author is 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);the second author is supported by NSFC (10871096);the third author is supported by Graduate Education Innovation of Jiangsu Province (CXZZ13-0389). |
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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.
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| 关 键 词： | Orlicz-Sobolev空间 拟线性椭圆方程 扰动方法 对称性 |
| 收稿时间： | 2013-03-20 |
| 修稿时间： | 2013-07-30 |
MULTIPLE SOLUTIONS FOR SYMMETRIC AND NON-SYMMETRIC QUASILINEAR ELLIPTIC EQUATIONS:AN ORLICZ-SOBOLEV SPACE SETTING |
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| YANG Yang,ZHANG Ji-hui,SHANG Xu-dong and SHAO Yi-xin. MULTIPLE SOLUTIONS FOR SYMMETRIC AND NON-SYMMETRIC QUASILINEAR ELLIPTIC EQUATIONS:AN ORLICZ-SOBOLEV SPACE SETTING[J]. Journal of Mathematics, 2015, 35(4): 779-788 |
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| Authors: | YANG Yang ZHANG Ji-hui SHANG Xu-dong SHAO Yi-xin |
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| Affiliation: | School of Science, Jiangnan University, Wuxi 214122, China,School of Mathematics Science, Nanjing Normal University, Nanjing 210046, China,School of Mathematics, Nanjing Normal University Taizhou College, Taizhou 225300, China and School of Science, Jiangnan University, Wuxi 214122, China |
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| Abstract: | 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. |
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| Keywords: | Orlicz-Sobolev spaces quasilinear elliptic equations perturbed methods symmetry |
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