| Landesman–Lazer Type Conditions and Multiplicity Results for Nonlinear Elliptic Problems with Neumann Boundary Values |
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| 作者单位： | [1]Universidade Federal de Goids, Departamento de Matemdtica, Caixa Postal 131, CEP： 74001-970, Goidnia - GO, Brazil [2]Universidade Federal de Sdo Carlos, Departamento de Matemdtiea, Caixa Postal 676, CEP： 13565-905, Sdo Carlos - SP, Brazil |
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| 基金项目： | partially supported by CNPq-Procad |
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| 摘 要： | We establish the existence and multiplicity of solutions for Steklov problems under non- resonance or resonance conditions using variational methods. In our main theorems, we consider a weighted eigenvalue problem of Steklov type.
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| 关 键 词： | 非线性椭圆问题 Neumann 多重性 类型 兰德斯 边界值 解的存在性 特征值问题 |
Landesman-lazer type conditions and multiplicity results for nonlinear elliptic problems with neumann boundary values |
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| Edcarlos Domingos Da Silva,Francisco Odair De Paiva. Landesman-lazer type conditions and multiplicity results for nonlinear elliptic problems with neumann boundary values[J]. Acta Mathematica Sinica(English Series), 2014, 30(2): 229-250. DOI: 10.1007/s10114-014-2750-2 |
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| Authors: | Edcarlos Domingos Da Silva Francisco Odair De Paiva |
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| Affiliation: | Universidade |
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| Abstract: | We establish the existence and multiplicity of solutions for Steklov problems under nonresonance or resonance conditions using variational methods. In our main theorems, we consider a weighted eigenvalue problem of Steklov type. |
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| Keywords: | Neumann-Steklov eigenvalue problems resonance Landesman-Lazer conditions |
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