We prove comparison principles, uniqueness, regularity and symmetry results for p-regular distributional solutions of quasilinear very weak elliptic equations of coercive type and to related inequalities. The simplest model examples are -Δ_pu+|u|^(q-1)u=h on R^N, where q>p-1>0 and -div( abla u/sqrt(1+| abla u|^2)+|u|^(q-1)u=h on ℝN, with q>0 and h∈L^1_loc(R^N).
Comparison principles, uniqueness and symmetry results of solutions of quasilinear elliptic equations and inequalities
D'AMBROSIO, Lorenzo;
2013-01-01
Abstract
We prove comparison principles, uniqueness, regularity and symmetry results for p-regular distributional solutions of quasilinear very weak elliptic equations of coercive type and to related inequalities. The simplest model examples are -Δ_pu+|u|^(q-1)u=h on R^N, where q>p-1>0 and -div( abla u/sqrt(1+| abla u|^2)+|u|^(q-1)u=h on ℝN, with q>0 and h∈L^1_loc(R^N).File in questo prodotto:
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