1 citations · 2 across the 7 of their papers we have counts for
9 papers
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{…
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…
Explicit estimates on positive supersolutions of nonlinear elliptic equations and applications
A. Aghajani, C. Cowan
In this paper we consider positive supersolutions of the nonlinear elliptic equation \[- Δu = ρ(x) f(u)|\nabla u|^p, \qquad \hfill \mbox{ in } Ω,\] where , is an arb…
Pointwise bounds for positive supersolutions of nonlinear elliptic problems involving the -Laplacian and application
Asadollah Aghajani, Alireza M. Tehrani
We derive a priori bounds for positive supersolutions of , where and is the -Laplace operator, in a smooth bounded domain of with…
Bounds for the extremal parameter of nonlinear eigenvalue problems and application to the explosion problem in a flow
Asadollah Aghajani, Alireza M. Tehrani
We consider the nonlinear eigenvalue problem , posed in a smooth bounded domain with Dirichlet boundary condition, where is a unifor…
Regularity of extremal solutions of semilinaer fourth-order elliptic problems with general nonlinearities
A. Aghajani
We consider the fourth order problem on a general bounded domain in with the Navier boundary condition on . Here, is a positive…
Regularity of extremal solutions of semilinear elliptic problems with non-convex nonlinearities on general domains
Asadollah Aghajani
We consider the semilinear elliptic equation in a smooth bounded domain of with Dirichielt boundary condition, where is a positive and nondeccr…
New a priori estimates for semistable solutions of semilinear elliptic equations
Asadollah Aghajani
We consider the semilinear elliptic equation in a general smooth bounded domain with zero Dirichlet boundary condition, where is a uniformly elli…