C. Goodrich

most citedPartial Regularity of Solutions to

p (x)

-Laplacian PDEs with Discontinuous Coefficients

32 citations · 52 across the 2 of their papers we have counts for

collaborators

3 papers

math.AP2021

Partial regularity for minimizers of discontinuous quasiconvex integrals with general growth

Christopher Goodrich, Giovanni Scilla, Bianca Stroffolini

We prove the partial Hölder continuity for minimizers of quasiconvex functionals \[ \mathcal{F}({\bf u}) \colon =\int_Ω f(x,{\bf u},D{\bf u})\,\mathrm{d}x, \] where $f$ satisfies a…

math.AP2020★ 32 cited

Partial Regularity of Solutions to $p (x)$ -Laplacian PDEs with Discontinuous Coefficients

C. S. Goodrich, M. A. Ragusa, A. Scapellato

For $Ω \subseteq R^{n}$ an open and bounded region we consider solutions $u \in W_{loc}^{1, p (x)} (Ω; R^{N})$ , with $N > 1$ , of the $p (x)$ -Laplacian system…

math.AP2020★ 20 cited

Holder continuity of weak solutions of p-Laplacian PDE's with VMO coefficients

C. S. Goodtich, m. A. Ragusa

We consider solutions $u \in W^{1, p} (Ω; R^{N})$ of the $p$ -Laplacian PDE \begin{equation} \nabla\cdot\big(a(x)|Du|^{p-2}Du\big)=0,\notag \end{equation} for $x\inΩ\su…

Partial regularity for minimizers of discontinuous quasiconvex integrals with general growth

Partial Regularity of Solutions to p(x)-Laplacian PDEs with Discontinuous Coefficients

Holder continuity of weak solutions of p-Laplacian PDE's with VMO coefficients

Partial Regularity of Solutions to $p (x)$ -Laplacian PDEs with Discontinuous Coefficients