On some fractional equations with convex-concave and logistic-type nonlinearities

DOI10.1016/j.jde.2016.10.045zbMath1352.35217OpenAlexW2554315073MaRDI QIDQ729950

Giulia Carboni, Dimitri Mugnai

Publication date: 22 December 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2016.10.045

zbMATH Keywords

fractional Laplacianthreshold valueconvex and concave nonlinearities

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)

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Cites Work

• Unnamed Item
• A fractional eigenvalue problem in \(\mathbb{R}^N\)
• The fractional Hartree equation without the Ambrosetti-Rabinowitz condition
• Fractional diffusion with Neumann boundary conditions: the logistic equation
• Multiplicity of solutions for non-local elliptic equations driven by the fractional Laplacian
• The periodic patch model for population dynamics with fractional diffusion
• Combined effects in quasilinear elliptic problems with lack of compactness
• Combined effects in nonlinear problems arising in the study of anisotropic continuous media
• A logistic equation with nonlocal interactions
• Fractional powers of closed operators and the semigroups generated by them
• Positive solutions of nonlinear problems involving the square root of the Laplacian
• The Chandrasekhar theory of stellar collapse as the limit quantum mechanics
• Combined effects of concave and convex nonlinearities in some elliptic problems
• Potential theory of subordinate killed Brownian motion in a domain
• Fractional quantum mechanics and Lévy path integrals
• Elliptic problems with nonlinearities indefinite in sign
• Dual variational methods in critical point theory and applications
• On multiple solutions for nonlocal fractional problems via \(\nabla\)-theorems.
• Elliptic problems involving the fractional Laplacian in \(\mathbb R^N\)
• Boson stars as solitary waves
• A concave—convex elliptic problem involving the fractional Laplacian
• On the spectrum of two different fractional operators
• The generalized logistic equation with indefinite weight driven by the square root of the Laplacian
• Mean field dynamics of boson stars
• Financial Modelling with Jump Processes
• An Extension Problem Related to the Fractional Laplacian
• Blowup for nonlinear wave equations describing boson stars
• Pseudorelativistic Hartree Equation with General Nonlinearity: Existence, Non-existence and Variational Identities

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