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20102021
most citedGroundstates and radial solutions to nonlinear Schrödinger-Poisson-Slater equations at the critical frequency

95 citations · 149 across the 12 of their papers we have counts for

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Showing 2016Show all

2 papers · 1 filter

math.FA2016★ 44 cited

Sharp Gagliardo-Nirenberg inequalities in fractional Coulomb-Sobolev spaces

Jacopo Bellazzini, Marco Ghimenti, Carlo Mercuri +2

We prove scaling invariant Gagliardo-Nirenberg type inequalities of the form $$\|φ\|_{L^p(\mathbb{R}^d)}\le C\|φ\|_{\dot H^{s}(\mathbb{R}^d)}^β \left(\iint_{\mathbb{R}^d \times \ma…

math.AP2016

A regularity result for the p-laplacian near uniform ellipticity

Carlo Mercuri, Giuseppe Riey, Berardino Sciunzi

We consider weak solutions to a class of Dirichlet boundary value problems invloving the -Laplace operator, and prove that the second weak derivatives are in with as…