Russian New University

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20172023

most citedRegularity for minimizers for functionals of double phase with variable exponents

311 citations

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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…

math.AP2020★ 311 cited

Regularity for minimizers for functionals of double phase with variable exponents

M. A. Ragusa, A. Tachikawa

The functionals of double phase type \[ \mathcal{H} (u):= \int \left(|Du|^{p} + a(x)|Du|^{q} \right) dx, ( q > p > 1, a(x)\geq 0) \] are introduced in the epoch-making paper by Col…

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

Regularity for minimizers for functionals of double phase with variable exponents

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