56 citations · 68 across the 19 of their papers we have counts for
25 papers
On supercritical elliptic problems: existence, multiplicity of positive and symmetry breaking solutions
Craig Cowan, Abbas Moameni
The main thrust of our current work is to exploit very specific characteristics of a given problem in order to acquire improved compactness for supercritical problems and to prove…
A nonlinear elliptic problem involving the gradient on a half space
A. Aghajani, C. Cowan, S. H. Lui
We consider perturbations of the diffusive Hamilton-Jacobi equation \begin{equation*} %\label{non_pert} \left\{ \begin{array}{lcl} \hfill -Δu &=& (1+g(x))| \nabla u|^p\qquad \mbox{…
Supercritical elliptic problems on nonradial domains via a nonsmooth variational approach
Craig Cowan, Abbas Moameni
In this paper we are interested in positive classical solutions of \begin{equation} \label{eqx} \left\{\begin{array}{ll} -Δu = a(x) u^{p-1} & \mbox{ in } Ω, \\ u>0 & \mbox{ in } Ω,…
Supercritical elliptic problems involving a Cordes like operator
C. Cowan
In this work we obtain positive bounded solutions of various perturbations of \begin{equation} \left\{ \begin{array}{lcl} \hfill -Δu - γ\sum_{i,j=1}^N \frac{x_i x_j}{|x|^2} u_{x_i…
Some elliptic problems involving the gradient on general bounded and exterior domains
A. Aghajani, C. Cowan
In this article we consider the existence of positive singular solutions on bounded domains and also classical solutions on exterior domains. First we consider positive singular so…
A note on the nonexistence of positive supersolutions to elliptic equations with gradient terms
A. Aghajani, C. Cowan
We prove that if the elliptic problem with has a positive supersolution in a domain of $ \IR^{N\ge 3}$, then must satisfy the inequalit…