Semilinear Hemivariational Inequalities with Strong Resonance at Infinity
نویسندگان
چکیده
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.
منابع مشابه
MULTIPLE SOLUTIONS FOR SEMILINEAR HEMIVARIATIONAL INEQUALITIES AT RESONANCE By LESZEK GASI\’{N}SKI AND NIKOLAOS
Abstract. We consider semilinear eigenvalue problems for hemivariational inequalities at resonance. First we consider problems which are at resonance in a higher eigenvalue $\lambda_{k}$ (with $k\geq 1$ ) and prove two multiplicity theorems asserting the existence of at least $k$ pairs of nontrivial solutions. Then we consider problems which are resonant at the first eigenvalue $\lambda_{1}>0$ ...
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