Asymptotical multiplicity and some reversed variational inequalities
نویسندگان
چکیده
منابع مشابه
Asymptotical Multiplicity and Some Reversed Variational Inequalities
We are concerned with multiplicity results for solutions of some reversed variational inequalities, in which the inequality is opposite with respect to the classical inequalities introduced by Lions and Stampacchia. The inequalities we study arise from a family (Pω) of elliptic problems of the fourth order when ω tends to ∞. We use two basic tools: the ∇theorems and a theorem about the multipli...
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where K0 = ⋃ t>0 tK is a closed convex cone. The typical problem one has to face is twofold: (1) find eigenvalues (which is nontrivial, unless K0 is a linear space): (2) ensure that some eigenvalues are bifurcation points (which is not always true, as counterexamples show). Much work has been done in this context; see [11], [15]–[18], [21]–[30], [32]–[34] and the references therein for a more c...
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ژورنال
عنوان ژورنال: Topological Methods in Nonlinear Analysis
سال: 2002
ISSN: 1230-3429
DOI: 10.12775/tmna.2002.024