Existence and convergence of positive weak solutions of -Δu= {Mathematical expression} in bounded domains of ℝn, n≥3

F. Pacard (1)

1 CERGRENE - CERGRENE

For the equation -Δu= {Mathematical expression} in Ω ⊂ℝn we prove the existence of positive weak solutions with prescribed singular set. We also prove the existence of sequences of weak solutions which converge weakly but not strongly in Ln/n-2(Ω) © 1993 Springer-Verlag.

Domaines: Sciences de l'environnement

F. Pacard. Existence and convergence of positive weak solutions of -Δu= {Mathematical expression} in bounded domains of ℝn, n≥3. Calculus of Variations and Partial Differential Equations, 1993, 1 (3), pp.243. ⟨10.1007/BF01191296⟩. ⟨hal-00779547⟩