Page 1 Local and Global Aspects of Quasilinear Degenerate Elliptic Equations Quasilinear
Elliptic Singular Problems Laurent Véron . \º WOrld Scientific Page 2 Local and Global Aspects …

In this article we obtain positive singular solutions of (1){− Δ pu=|∇ u| qin Ω, u= 0 on∂ Ω,
where Ω is a small C 2 perturbation of the unit ball in R N. For (p− 1) NN− 1< q< p< N we …

We study the local Hölder regularity of strong solutions u of second-order uniformly elliptic
equations having a gradient term with superquadratic growth γ> 2, and right-hand side in a …

In this paper the Nash-Moser iteration method is used to study the gradient estimates of
solutions to the quasilinear elliptic equation $\Delta_p u-|\nabla u|^ q+ b (x)| u|^{r-1} u= 0 …

We study local and global properties of positive solutions of-Δ u= u^ p+ M\left| ∇ u\right|^ q-
Δ u= up+ M∇ uq in a domain Ω Ω of R^ N RN, in the range\min {p, q\}> 1 min p, q> 1 and M …

In this paper, we study the Sobolev regularity of solutions to nonlinear second order elliptic
equations with super-linear first-order terms on Riemannian manifolds, complemented with …

We consider the elliptic quasilinear equation-Δ m⁢ u= up⁢|∇⁡ u| q in ℝ N, q≥ m and p> 0,
1< m< N. Our main result is a Liouville-type property, namely, all the positive C 1 solutions in …

arXiv:1812.08418v2 [math.AP] 20 Aug 2019 Page 1 Radial solutions of scaling invariant
nonlinear elliptic equations with mixed reaction terms Marie-Françoise Bidaut-Véron∗, Marta …

In this paper, we employ the Nash-Moser iteration technique to analyze the local and global
properties of positive solutions to the equation $$\Delta_pu+ a|\nabla u|^ qu^ r= 0$$ on a …

In this article we obtain positive singular solutions of (1)− Δ u=|∇ u| p in Ω, u= 0 on∂ Ω,
where Ω is a small C 2 perturbation of the unit ball in R N. For NN− 1< p< 2 we prove that if Ω …