4 documents found, page 1 of 1
Multiple solutions for superlinear fractional $p$-Laplacian equations
Iannizzotto, Antonio; Staicu, Vasile; Vespri, VincenzoWe study a Dirichlet problem driven by the (degenerate or singular) fractional $p$-Laplacian and involving a $(p-1)$-superlinear reaction at infinity, not necessarily satisfying the Ambrosetti-Rabinowitz condition. Using critical point theory, truncation, and Morse theory, we prove the existence of at least three nontrivial solutions to the problem.
Eigenvalue problems for Fredholm operators with set-valued perturbations
Iannizzotto, Antonio
Existence and multiplicity results for partial differential inclusions via nons...
Iannizzotto, Antonio; Staicu, VasileWe consider a partial differential inclusion driven by the p-Laplacian and involving a nonsmooth potential, with Dirichlet boundary conditions. Under convenient assumptions on the behavior of the potential near the origin, the associated energy functional has a local linking. By means of nonsmooth Morse theory, we prove the existence of at least one or two nontrivial solutions, respectively, when the potential ...
Eigenvalue problems for Fredholm operators with set-valued perturbations
Iannizzotto, Antonio