Electronic Journal of Differential Equations (Jan 2001)

Behaviour near zero and near infinity of solutions to elliptic equalities and inequalities

  • Marie-Francoise Bidaut-Veron

Journal volume & issue
Vol. Conference, no. 06
pp. 29 – 44

Abstract

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Here we consider elliptic equations and inequalities involving quasilinear operators in divergence form and nonlinear lower order terms: $$-mathop{m div}left(mathcal{A}(x,u,abla u)ight) geq |x|^sigma u^Qquad(Q>0,sigma in mathbb{R}), $$ in dimension $Ngeq 3$. We study the asymptotic behaviour of the solutions and give {it a priori} estimate and non-existence results.

Keywords