| SEMILINEAR HEMIVARIATIONAL INEQUALITIES WITH STRONG RESONANCE AT INFINITY |
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| 引用本文： | Michael Filippakis Leszek Gasiriski Nikolaos S. Papageorgiou. SEMILINEAR HEMIVARIATIONAL INEQUALITIES WITH STRONG RESONANCE AT INFINITY[J]. 数学物理学报(B辑英文版), 2006, 26(1): 59-73 |
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| 作者姓名： | Michael Filippakis Leszek Gasiriski Nikolaos S. Papageorgiou |
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| 作者单位： | Department of Mathematics National Technical University Zografou Campus，Athens 15780，Greece，Institute of Computer Science Jagiellonian University，ul.Nawojki 11，30072 Cracow，Poland，Department of Mathematics National Technical University，Zografou Campus，Athens 15780，Greece |
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| 基金项目： | Research is supported by a grant of the National Scholarship Foundation of Greece (I.K.Y.) |
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| 摘 要： | A semilinear elliptic equation with strong resonance at infinity and with a nonsmooth potential is studied. Using nonsmooth critical point theory and developing some abstract minimax principles which complement and extend results in the literature, two results on existence are obtained.
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| 关 键 词： | 准线性半变量不等式 强谐振 Laplacian算子 特征值 |
| 收稿时间： | 2003-07-01 |
| 修稿时间： | 2004-03-17 |
SEMILINEAR HEMIVARIATIONAL INEQUALITIES WITH STRONG RESONANCE AT INFINITY |
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| Michael Filippakis,Leszek Gasiski,Nikolaos S. Papageorgiou. SEMILINEAR HEMIVARIATIONAL INEQUALITIES WITH STRONG RESONANCE AT INFINITY[J]. Acta Mathematica Scientia, 2006, 26(1): 59-73 |
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| Authors: | Michael Filippakis Leszek Gasiski Nikolaos S. Papageorgiou |
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| Affiliation: | Michael Filippakis,Leszek Gasi(n)ski,Nikolaos S. Papageorgiou |
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| Abstract: | A semilinear elliptic equation with strong resonance at infinity and with a nonsmooth potential is studied. Using nonsmooth critical point theory and developing some abstract minimax principles which complement and extend results in the literature, two results on existence are obtained. |
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| Keywords: | Strong resonance hemivariational inequality Laplacian principal eigenvalue locally Lipschitz function Clarke subdifferential nonsmooth critical point theory |
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