S. Carl

activity

20232025

L^{\infty}

-estimate for general quasilinear elliptic equations in arbitrary domains of

R^{N}

2 citations · 2 across the 4 of their papers we have counts for

collaborators

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math.AP2025

Nonlocal critical elliptic equations in homogeneous fractional Sobolev spaces

Siegfried Carl, Kanishka Perera, Hossein Tehrani

We prove new multiplicity results for some nonlocal critical growth elliptic equations in homogeneous fractional Sobolev spaces. The proofs are based on an abstract critical point…

math.AP2025

Global $L^{\infty}$ and decay estimate for fractional $p$ -Laplacian equations in $D^{s, p} (R^{N})$

Siegfried Carl, Kanishka Perera, Hossein Tehrani

In this paper we present a new global $L^{\infty}$ -estimate for solutions $u \in D^{s, p} (R^{N})$ of the fractional $p$ -Laplacian equation % $$ u\in D^{s,p}(\R^N): (-Δ_p)^s u=f(x,u) \qu…

math.AP2024

Elliptic $p$ -Laplacian systems with nonlinear boundary condition

Franziska Borer, Siegfried Carl, Patrick Winkert

In this paper we study quasilinear elliptic systems given by \begin{equation*} \begin{aligned} -Δ_{p_1}u_1 & =-|u_1|^{p_1-2}u_1 \quad && \text{in } Ω,\newline -Δ_{p_2}u_2 & =-|u_2|…

math.AP2023★ 2 cited

Global $L^{\infty}$ -estimate for general quasilinear elliptic equations in arbitrary domains of $R^{N}$

Siegfried Carl, Hossein Tehrani

In this paper our main goal is to present a new global $L^{\infty}$ -estimate for a general class of quasilinear elliptic equations of the form $$ -div \mathcal{A}(x,u,\nabla u)=\math…

Nonlocal critical elliptic equations in homogeneous fractional Sobolev spaces

Global L∞ and decay estimate for fractional p-Laplacian equations in Ds,p(RN)

Elliptic p-Laplacian systems with nonlinear boundary condition

Global L∞-estimate for general quasilinear elliptic equations in arbitrary domains of RN

Global $L^{\infty}$ and decay estimate for fractional $p$ -Laplacian equations in $D^{s, p} (R^{N})$

Elliptic $p$ -Laplacian systems with nonlinear boundary condition

Global $L^{\infty}$ -estimate for general quasilinear elliptic equations in arbitrary domains of $R^{N}$