Erwin Topp

activity

20232026

most citedLipschitz regularity of fractional

p

-Laplacian

1 citations · 1 across the 5 of their papers we have counts for

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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 and…

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★ 1 cited

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…

math.AP2024

Nonlocal Liouville theorems with gradient nonlinearity

Anup Biswas, Alexander Quaas, Erwin Topp

In this article we consider a large family of nonlinear nonlocal equations involving gradient nonlinearity and provide a unified approach, based on the Ishii-Lions type technique,…

math.AP2023

Nonlocal ergodic control problem in $R^{d}$

Anup Biswas, Erwin Topp

We study the existence-uniqueness of solution $(u, λ)$ to the ergodic Hamilton-Jacobi equation $(- Δ)^{s} u + H (x, \nabla u) = f - λ in R^{d},$ and $u \geq 0$ , whe…

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

Nonlocal Liouville theorems with gradient nonlinearity

Nonlocal ergodic control problem in Rd

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

Nonlocal ergodic control problem in $R^{d}$