15 citations · 45 across the 8 of their papers we have counts for
9 papers
Gradient regularity for -harmonic functions
Verena Bögelein, Frank Duzaar, Naian Liao +2
We study the local regularity properties of -harmonic functions, i.e. local weak solutions to the fractional -Laplace equation of order in the case $p\in (1,…
Regularity for the fractional -Laplace equation
Verena Bögelein, Frank Duzaar, Naian Liao +2
Higher Sobolev and Hölder regularity is studied for local weak solutions of the fractional -Laplace equation of order in the case . Depending on the regime considere…
Nonlocal critical growth elliptic problems with jumping nonlinearities
Giovanni Molica Bisci, Kanishka Perera, Raffaella Servadei +1
In this paper we study a nonlocal critical growth elliptic problem driven by the fractional Laplacian in presence of jumping nonlinearities. In the main results of the paper we pro…
Nonlinear problems on the Sierpiński gasket
Giovanni Molica Bisci, Dušan D. Repovš, Raffaella Servadei
This paper concerns with a class of elliptic equations on fractal domains depending on a real parameter. Our approach is based on variational methods. More precisely, the existence…
Nontrivial solutions of superlinear nonlocal problems
Giovanni Molica Bisci, Dušan Repovš, Raffaella Servadei
We study the question of the existence of infinitely many weak solutions for nonlocal equations of fractional Laplacian type with homogeneous Dirichlet boundary data, in presence o…
Multiplicity results for fractional Laplace problems with critical growth
Alessio Fiscella, Giovanni Molica Bisci, Raffaella Servadei
This paper deals with multiplicity and bifurcation results for nonlinear problems driven by the fractional Laplace operator and involving a critical Sobolev term. In parti…