Existence theorems for fractional p-Laplacian problems

DOI10.1142/S0219530516500020zbMath1371.35330MaRDI QIDQ5357453

Paolo Piersanti, Patrizia Pucci

Publication date: 8 September 2017

Published in: Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Morse theorynonlinear eigenvalue problemscohomological local splittingnonlocal \(p\)-Laplacian

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60) Boundary value problems for PDEs with pseudodifferential operators (35S15) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11)

Related Items (13)

The Dirichlet problem for the \(p\)-fractional Laplace equation ⋮ Sign-changing solutions of fractional $p$-Laplacian problems ⋮ Existence of solutions for non-coercive variational-hemivariational inequalities involving the nonlocal fractional p-Laplacian ⋮ On nonlocal Dirichlet problems with oscillating term ⋮ Existence and multiplicity for fractional Dirichlet problem with γ(ξ)-Laplacian equation and Nehari manifold ⋮ Linking over cones for the Neumann fractional \(p\)-Laplacian ⋮ A problem involving a nonlocal operator ⋮ Nonlinear equations involving the square root of the Laplacian ⋮ On a fractional \(p\)-Laplacian problem with discontinuous nonlinearities ⋮ Asymptotically linear fractional \(p\)-Laplacian equations ⋮ Unnamed Item ⋮ On nonlocal fractional Laplacian problems with oscillating potentials ⋮ Unnamed Item

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