Steve Hudson

collaborators

5 papers

math.AP2019

Regularity of solutions of quasi-linear elliptic equations with $L lo g^{m} L$ coefficients

Julian Edward, Steve Hudson, Mark Leckband

Let $D$ be an bounded region in $R^{n}$ . The regularity of solutions of a family of quasilinear elliptic partial differential equations is studied, one example being $Δ_nu=Vu^{…

math.AP2013

Minimal potential results for the Schrodinger equation in a slab

Laura De Carli, Steve Hudson, Xiaosheng Li

Consider the Schrodinger equation -Δu =(k+V) u in an infinite slab S= \R^{n-1}x (0,1), where V is a bounded potential supported on a set D of finite measure. We prove necessary con…

math.FA2013

Split functions, Fourier transforms and multipliers

Laura De Carli, Steve Hudson

We study the effect of a splitting operator S_t on the L^p norm of the Fourier transform of a function f and on the operator norm of a Fourier multiplier m. Most of our results ass…

math.AP2013

Minimal support results for Schrödinger equations

Laura De Carli, Julian Edward, Steve Hudson +1

We consider a number of linear and non-linear boundary value problems involving generalized Schrödinger equations. The model case is $- Δ u = V u$ for $u \in W_{0}^{1, 2} (D)$ with $D$ a bou…

math.AP2013

Existence problems for the $p$ -Laplacian

Julian Edward, Steve Hudson, Mark Leckband

We consider a number of boundary value problems involving the $p$ -Laplacian. The model case is $- Δ_{p} u = V ∣ u ∣^{p - 2} u$ for $u \in W_{0}^{1, 2} (D)$ with $D$ a bounded domain in $R^{n}$ …

Regularity of solutions of quasi-linear elliptic equations with LlogmL coefficients

Minimal potential results for the Schrodinger equation in a slab

Split functions, Fourier transforms and multipliers

Minimal support results for Schrödinger equations

Existence problems for the p-Laplacian

Regularity of solutions of quasi-linear elliptic equations with $L lo g^{m} L$ coefficients

Existence problems for the $p$ -Laplacian