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math.AP2024
Multiple solutions for superlinear fractional -Laplacian equations
Antonio Iannizzotto, Vasile Staicu, Vincenzo Vespri
We study a Dirichlet problem driven by the (degenerate or singular) fractional -Laplacian and involving a -superlinear reaction at infinity, not necessarily satisfying th…
math.AP2019★ 6 cited
Local boundedness for weak solutions to some quasilinear elliptic systems
Salvatore Leonardi, Francesco Leonetti, Cristina Pignotti +2
We consider quasilinear elliptic systems in divergence form. In general, we cannot expect that weak solutions are locally bounded because of De Giorgi's counterexample. Here we ass…