Steve Hudson

collaborators

3 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 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 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