On the Fučik spectrum of non-local elliptic operators

DOI10.1007/s00030-013-0258-6zbMath1296.35106arXiv1306.4761OpenAlexW3098785246MaRDI QIDQ405614

Sarika Goyal, Konijeti Sreenadh

Publication date: 5 September 2014

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.4761

zbMATH Keywords

nonresonanceFučik spectrumfractional Laplacian

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Variational methods applied to PDEs (35A15) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

Related Items

The second eigenvalue of the fractional \(p\)-Laplacian ⋮ Nonresonance and resonance problems for nonlocal elliptic equations with respect to the Fučik spectrum ⋮ Existence and multiplicity results for resonant fractional boundary value problems ⋮ Bounds for eigenvalues of the Dirichlet problem for the logarithmic Laplacian ⋮ The ∞-Fucík spectrum ⋮ Three nontrivial solutions for nonlinear fractional Laplacian equations ⋮ Dancer-Fučik spectrum for fractional Schrödinger operators with a steep potential well on \(\mathbb{R}^N\) ⋮ Theoretical developments in the study of partial differential equations ⋮ The Dirichlet problem for the logarithmic Laplacian ⋮ On the eigenvalues and Fučik spectrum ofp-fractional Hardy-Sobolev operator with weight function

Cites Work

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• Lewy-Stampacchia type estimates for variational inequalities driven by (non)local operators
• Hitchhiker's guide to the fractional Sobolev spaces
• On the Fučik spectrum for the \(p\)-Laplacian with Robin boundary condition
• Mountain pass solutions for non-local elliptic operators
• On nonlinear elliptic problems with jumping nonlinearities
• On the first curve of the Fučik spectrum of an elliptic operator
• On the Fučik spectrum for the \(p\)-Laplacian
• On the Fučik spectrum and a resonance problem for the \(p\)-Laplacian with a nonlinear boundary condition
• On the Fučík spectrum of the \(p\)-Laplacian
• Radial Fučik spectrum of the Laplace operator
• A note on the resonance set for a semilinear elliptic equation and an application to jumping nonlinearities
• Variational methods for non-local operators of elliptic type
• A Brezis-Nirenberg result for non-local critical equations in low dimension
• The beginning of the Fučik spectrum for the \(p\)-Laplacian
• Dual variational methods in critical point theory and applications
• Weak and viscosity solutions of the fractional Laplace equation
• Fractional eigenvalues
• Résultats d'existence et de non-existence pour certains problèmes demi-linéaires à l'infini
• A variational approach to nonresonance with respect to the Fučik spectrum
• On the Dirichlet problem for weakly non-linear elliptic partial differential equations
• Some remarks on the Fučík spectrum of the \(p\)-Laplacian and critical groups

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