M. Marcus

activity

20062023

most citedBoundary singularities of solutions of semilinear elliptic equations in the half-space with a Hardy potential

10 citations · 34 across the 26 of their papers we have counts for

collaborators

Showing 2013Show all

5 papers · 1 filter

math.AP2013★ 6 cited

Nonlinear elliptic equations with measures revisited

Haïm Brezis, Moshe Marcus, Augusto C. Ponce

We study the existence of solutions of the nonlinear problem $$ \left\{ \begin{alignedat}{2} -Δu + g(u) & = μ& & \quad \text{in } Ω,\\ u & = 0 & & \quad \text{on } \partial Ω, \end…

math.AP2013★ 2 cited

Positive solutions of quasilinear elliptic equations with subquadratic growth in the gradient

Moshe Marcus, Phuoc-Tai Nguyen

We study positive solutions of equation (E) $- Δ u + u^{p} ∣\nabla u ∣^{q} = 0$ ( $0 < p$ , $0 \leq q \leq 2$ , $p + q > 1$ ) and other related equations in a smooth bounded domain $Ω\subset {\mathbb R…

math.AP2013

Boundary trace of positive solutions of supercritical semilinear elliptic equations in dihedral domains

Moshe Marcus, Laurent Veron

We study the generalized boundary value problem for (E)\; $- Δ u + ∣ u ∣^{q - 1} u = 0$ in a dihedral domain $\Gw$, when $q > 1$ is supercritical. The value of the critical exponent can take on…

math.AP2013

Positive solutions of a class of semilinear equations with absorption and schrödinger equations

Alano Ancona, Moshe Marcus

Several results about positive solutions -in a Lipschitz domain- of a nonlinear elliptic equation in a general form $Δ u (x) - g (x, u (x)) = 0$ are proved, extending thus some known facts…

math.AP2013

Semilinear elliptic equations admitting similarity transformations

Mousomi Bhakta, Moshe Marcus

In this paper we study the equation $- Δ u + ρ^{- (α + 2)} h (ρ^{α} u) = 0$ in a smooth bounded domain $Ω$ where $ρ (x) = dist (x, \partial Ω)$ , $α > 0$ and $h$ is a non-decreasing function…