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SEMILINEAR HEMIVARIATIONAL INEQUALITIES WITH STRONG RESONANCE AT INFINITY
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作者 Michael Filippakis Leszek Gasi■ski Nikolaos S.Papageorgiou 《Acta Mathematica Scientia》 SCIE CSCD 2006年第1期59-73,共15页
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 ex... 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. 展开更多
关键词 Strong resonance hemivariational inequality LAPLACIAN principal eigenvalue locally Lipschitz function Clarke subdifferential nonsmooth criticalpoint theory
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TWO-POINT BOUNDARY VALUE PROBLEM FOR A CLASS OF SECOND-ORDER DIFFERENCE EQUATIONS 被引量:2
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作者 Cai Xiaochun 《Annals of Differential Equations》 2006年第1期1-6,共6页
In this paper, we apply a critical point theorem and obtain the condition for the existence of three solutions to two-point boundary value problem of a second order nonlinear difference equation.
关键词 nonlinear difference equations boundary value problem criticalpoint theory
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