Existence and multiplicity results for a critical superlinear fractional Ambrosetti-Prodi type problem
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Publication:2700238
DOI10.1016/j.cnsns.2023.107174OpenAlexW4320731506MaRDI QIDQ2700238
Publication date: 20 April 2023
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2023.107174
Variational methods applied to PDEs (35A15) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11)
Cites Work
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- Hitchhiker's guide to the fractional Sobolev spaces
- Ambrosetti-Prodi type results in elliptic systems
- Mountain pass solutions for non-local elliptic operators
- Critical concave convex Ambrosetti-Prodi type problems for fractional \(\mathrm{p} \)-Laplacian
- 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
- Existence theorems for the Schrödinger equation involving a critical Sobolev exponent
- On a resonant-superlinear elliptic problem
- Critical superlinear Ambrosetti-Prodi problems
- Existence, nonexistence and multiplicity results for nonlocal Dirichlet problems
- On the inversion of some differentiable mappings with singularities between Banach spaces
- Best constants for Sobolev inequalities for higher order fractional derivatives
- Minimax theorems
- Variational methods for non-local operators of elliptic type
- Multiple solutions for a fractional elliptic problem with critical growth
- Ambrosetti-Prodi type results for Dirichlet problems of fractional Laplacian-like operators
- On the Ambrosetti-Prodi problem for non-variational elliptic systems
- Multiplicity results for fractional systems crossing high eigenvalues
- Critical Ambrosetti-Prodi type problems for systems of elliptic equations
- The Yamabe equation in a non-local setting
- Variational Methods for Nonlocal Fractional Problems
- Remarks on some quasilinear elliptic equations
- An Ambrosetti–Prodi type result for fractional spectral problems
- Resonance Phenomena for Second-Order Stochastic Control Equations
- The Ambrosetti–Prodi Problem for thep-Laplace Operator
- The Brezis-Nirenberg result for the fractional Laplacian
- Ambrosetti-Prodi-type problems for quasi-linear elliptic equations with nonlocal boundary conditions
