Xavier Ros‐Oton

most citedRegularity of stable solutions up to dimension 7 in domains of double revolution

7 citations · 7 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2012

Fractional Laplacian: Pohozaev identity and nonexistence results

Xavier Ros-Oton, Joaquim Serra

In this note we present the Pohozaev identity for the fractional Laplacian. As a consequence of this identity, we prove the nonexistence of nontrivial bounded solutions to semiline…

math.AP2012★ 7 cited

Regularity of stable solutions up to dimension 7 in domains of double revolution

Xavier Cabre, Xavier Ros-Oton

We consider the class of semi-stable positive solutions to semilinear equations $- Δ u = f (u)$ in a bounded domain $Ω \subset R^{n}$ of double revolution, that is, a domain invaria…

math.NT2012

On a factorization of Riemann's $ζ$ function with respect to a quadratic field and its computation

Xavier Ros-Oton

Let $K$ be a quadratic field, and let $ζ_{K}$ its Dedekind zeta function. In this paper we introduce a factorization of $ζ_{K}$ into two functions, $L_{1}$ and $L_{2}$ , defined as partial…

Fractional Laplacian: Pohozaev identity and nonexistence results

Regularity of stable solutions up to dimension 7 in domains of double revolution

On a factorization of Riemann's ζ function with respect to a quadratic field and its computation

On a factorization of Riemann's $ζ$ function with respect to a quadratic field and its computation