Erwin Topp

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math.AP2026

Lipschitz regularity for fractional $p$ -Laplacian with coercive gradients

Anup Biswas, Aniket Sen, Erwin Topp

In this article, we study nonlinear nonlocal equations with coercive gradient nonlinearity of the form \[ (-Δ_p)^s u(x) + H(x, \nabla u) = f, \] where $f$ is Lipschitz continuous.…

math.AP2025

Interior $C^{1, α}$ regularity of mixed local-nonlocal $(p, q)$ -energy minimizers for $p \leq s q$

Anup Biswas, Erwin Topp

We establish the local $C^{1, α}$ regularity of minimizers for functionals of the form $$w\to \int_Ω(|\nabla w|^p-fw) dx + \int_{\mathbb{R}^n}\int_{\mathbb{R}^n} \frac{|w(x)-w(y)|^…

math.AP2025

Lipschitz regularity of fractional $p$ -Laplacian

Anup Biswas, Erwin Topp

In this article, we investigate the Hölder regularity of the fractional $p$ -Laplace equation of the form $(- Δ_{p})^{s} u = f$ where $p > 1, s \in (0, 1)$ and $f \in L_{loc}^{\infty} (Ω)$ . S…

Lipschitz regularity for fractional p-Laplacian with coercive gradients

Interior C1,α regularity of mixed local-nonlocal (p,q)-energy minimizers for p≤sq

Lipschitz regularity of fractional p-Laplacian

Lipschitz regularity for fractional $p$ -Laplacian with coercive gradients

Interior $C^{1, α}$ regularity of mixed local-nonlocal $(p, q)$ -energy minimizers for $p \leq s q$

Lipschitz regularity of fractional $p$ -Laplacian