The critical fractional Ambrosetti-Prodi problem

DOI10.1007/s12215-022-00757-4OpenAlexW4281488114MaRDI QIDQ2089941

Teresa Isernia, Vincenzo Ambrosio

Publication date: 24 October 2022

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-022-00757-4

zbMATH Keywords

variational methodsAmbrosetti-Prodi problemfractional Laplacian

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Integro-differential operators (47G20) Fractional partial differential equations (35R11)

Related Items (1)

A fractional Ambrosetti-Prodi type problem in \(\mathbb{R}^N\)

Cites Work

• Ambrosetti-Prodi type results in elliptic systems
• Multiplicity results for superlinear elliptic problems with partial interference with the spectrum
• Critical point theory and Hamiltonian systems
• Lectures on the Ekeland variational principle with applications and detours. Lectures delivered at the Indian Institute of Science, Bangalore, India under the T.I.F.R.-I.I.Sc. programme in applications of mathematics
• On the ranges of certain weakly nonlinear elliptic partial differential equations
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• Critical superlinear Ambrosetti-Prodi problems
• On the inversion of some differentiable mappings with singularities between Banach spaces
• Best constants for Sobolev inequalities for higher order fractional derivatives
• Critical Ambrosetti-Prodi type problems for systems of elliptic equations
• The periodic Ambrosetti-Prodi problem for nonlinear perturbations of the \(p\)-Laplacian
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• An Ambrosetti–Prodi-type result for a quasilinear Neumann problem
• A multiplicity result for a class of elliptic boundary value problems
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Variational Methods for Nonlocal Fractional Problems
• Sharp existence results for a class of semilinear elliptic problems
• On the superlinear ambrosetti-prodi problem involving critical Sobolev exponents
• Remarks on some quasilinear elliptic equations
• An Ambrosetti–Prodi type result for fractional spectral problems
• Nonlinear Fractional Schrödinger Equations in R^N
• The Ambrosetti–Prodi Problem for thep-Laplace Operator
• The Brezis-Nirenberg result for the fractional Laplacian
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