Behaviour near zero and near infinity of solutions to elliptic equalities and inequalities.
Necessary conditions of existence for an elliptic equation with source term and measure data involving -Laplacian.
Nonlinear elliptic equations on compact Riemannian manifolds and asymptotics of Emden equations.
Singularities in elliptic systems with absorption terms
An elliptic semilinear equation with source term involving boundary measures: the subcritical case.
We study the boundary behaviour of the nonnegative solutions of the semilinear elliptic equation in a bounded regular domain Ω of RN (N ≥ 2), ⎧ Δu + uq = 0, in Ω ⎨ ⎩ u = μ, on ∂Ω where 1 < q < (N + 1)/(N - 1) and μ is a Radon measure on ∂Ω. We give a priori estimates and existence results. The lie on the study of superharmonic functions in some weighted Marcinkiewicz...
Stability properties for quasilinear parabolic equations with measure data
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