On a fractional advection dispersion equation in \(\mathbb{R}^N\) involving a critical nonlinearity

DOI10.1515/tmj-2017-0018zbMath1364.35011OpenAlexW2610438755MaRDI QIDQ2628078

Nemat Nyamoradi, Nasrin Eghbali, Aliashraf Nouri

Publication date: 12 June 2017

Published in: Tbilisi Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/tmj-2017-0018

zbMATH Keywords

variational methodscritical pointEkeland variational principlefractional advection dispersion equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Fractional ordinary differential equations (34A08)

Cites Work

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• Existence of solution for a fractional advection dispersion equation in \(\mathbb{R}^N\)
• On the variational principle
• Infinitely many solutions for a class of fractional boundary value problems with Dirichlet boundary conditions
• Positive solutions for a quasilinear elliptic equation of Kirchhoff type
• Variational solution of fractional advection dispersion equations on bounded domains in ℝd
• The Cauchy problem for Kirchhoff equations
• On the Well-Posedness of the Kirchhoff String
• Multiplicity results for a class of fractional boundary value problems

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