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20132026
most citedThree solutions for a Neumann partial differential inclusion via nonsmooth Morse theory

6 citations · 19 across the 31 of their papers we have counts for

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math.AP2014★ 6 cited

Three solutions for a Neumann partial differential inclusion via nonsmooth Morse theory

Francesca Colasuonno, Antonio Iannizzotto, Dimitri Mugnai

We study a partial differential inclusion, driven by the p-Laplacian operator, involving a p-superlinear nonsmooth potential, and subject to Neumann boundary conditions. By means o…

math.AP2014

Global Hölder regularity for the fractional -Laplacian

Antonio Iannizzotto, Sunra Mosconi, Marco Squassina

By virtue of barrier arguments we prove -regularity up to the boundary for the weak solutions of a non-local nonlinear problem driven by the fractional -Laplacian operator.…

math.AP2014

H^s versus C^0-weighted minimizers

Antonio Iannizzotto, Sunra Mosconi, Marco Squassina

We study a class of semi-linear problems involving the fractional Laplacian under subcritical or critical growth assumptions. We prove that, for the corresponding functional, local…

math.AP2014★ 6 cited

Existence results for fractional p-Laplacian problems via Morse theory

Antonio Iannizzotto, Shibo Liu, Kanishka Perera +1

We investigate a class of quasi-linear nonlocal problems, including as a particular case semi-linear problems involving the fractional Laplacian and arising in the framework of con…

math.AP2014★ 1 cited

Weyl-type laws for fractional p-eigenvalue problems

Antonio Iannizzotto, Marco Squassina

We prove an asymptotic estimate for the growth of variational eigenvalues of fractional p-Laplacian eigenvalue problems on a smooth bounded domain.

math.AP2014

Ground states for scalar field equations with anisotropic nonlocal nonlinearities

Antonio Iannizzotto, Kanishka Perera, Marco Squassina

We consider a class of scalar field equations with anisotropic nonlocal nonlinearities. We obtain a suitable extension of the well-known compactness lemma of Benci and Cerami to th…