S. Carl

collaborators

2 papers

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…

Nonlocal critical elliptic equations in homogeneous fractional Sobolev spaces

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

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