Browsing by Author "Gkikas, Konstantinos"
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Boundary singularities of solutions of semilinear elliptic equations with critical Hardy potentials Gkikas, Konstantinos; Véron, Laurent (Elsevier, 2015)We study the boundary behavior of positive functions u satisfying (E) - Delta u-kappa/d(2)(x)u+g(u) = 0 in a bounded domain ohm of R-N, where 0 < kappa <= 1/4, g is a continuous nondecreasing function and d(.) is the ...
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Gkikas, Konstantinos; Véron, Laurent (Elsevier, 2015)Let Omega subset of R-N be a bounded C-2 domain and L-kappa = -Delta - kappa/d(2) where d = dist(., partial derivative Omega) and 0 < K <= 1/4. Let alpha(+/-) = 1 +/- root 1 - 4K, lambda(kappa) the first eigenvalue of ...