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20182026
most citedA general notion of uniform ellipticity and the regularity of the stress field for elliptic equations in divergence form

12 citations · 17 across the 25 of their papers we have counts for

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Showing 2021Show all

5 papers · 1 filter

math.AP2021★ 1 cited

Strongly singular convective elliptic equations in RN driven by a non-homogeneous operator

Laura Gambera, Umberto Guarnotta

Existence of a generalized solution to a strongly singular convective elliptic equation in the whole space is established. The differential operator, patterned after the (p,q)-Lapl…

math.AP2021

Existence of entire solutions for singular quasilinear convective elliptic systems

Umberto Guarnotta

The existence of entire solutions to quasilinear elliptic systems exhibiting both singular and convective reaction terms is discussed. An auxiliary problem, obtained by `freezing'…

math.AP2021★ 2 cited

Singular quasilinear elliptic problems with convection terms

Umberto Guarnotta

In this paper we present some very recent results regarding existence, uniqueness, and multiplicity of solutions for quasilinear elliptic equations and systems, exhibiting both sin…

math.AP2021★ 12 cited

A general notion of uniform ellipticity and the regularity of the stress field for elliptic equations in divergence form

Umberto Guarnotta, Sunra Mosconi

For solutions of we show that the quasiconformality of is the key property leading to the Sobolev regularity of the stress field ,…

math.AP2021

Singular quasilinear convective elliptic systems in

Umberto Guarnotta, Salvatore A. Marano, Abdelkrim Moussaoui

The existence of a positive entire weak solution to a singular quasi-linear elliptic system with convection terms is established, chiefly through perturbation techniques, fixed poi…