The Nehari manifold for a class of Schrödinger equation involving fractional p-Laplacian and sign-changing logarithmic nonlinearity

DOI10.1063/1.5084062zbMath1431.35184OpenAlexW2991548306MaRDI QIDQ5206024

Le Xuan Truong

Publication date: 17 December 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5084062

zbMATH Keywords

Schrödinger equationfractional \(p\)-Laplacian

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Weak solutions to PDEs (35D30) Fiberings with singularities in algebraic topology (55R55) Fractional partial differential equations (35R11) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (8)

Least energy solutions for fractional Kirchhoff problems with logarithmic nonlinearity ⋮ Fractional Schrödinger equations with logarithmic and critical nonlinearities ⋮ Combined effects of logarithmic and superlinear nonlinearities in fractional Laplacian systems ⋮ Least energy sign-changing solution for \(N\)-Laplacian problem with logarithmic and exponential nonlinearities ⋮ Initial boundary value problem for fractional \(p \)-Laplacian Kirchhoff type equations with logarithmic nonlinearity ⋮ Global existence and blow-up for the fractional \(p\)-Laplacian with logarithmic nonlinearity ⋮ Combined effects of logarithmic and critical nonlinearities in fractional Laplacian problems ⋮ Infinite wall in the fractional quantum mechanics

Cites Work

• Unnamed Item
• The Nehari manifold for nonlocal elliptic operators involving concave-convex nonlinearities
• Critical fractional \(p\)-Laplacian problems with possibly vanishing potentials
• The Brezis-Nirenberg problem for the fractional \(p\)-Laplacian
• The Nehari manifold for a fractional \(p\)-Laplacian system involving concave-convex nonlinearities
• Nehari manifold for non-local elliptic operator with concave-convex nonlinearities and sign-changing weight functions
• Multiple positive solutions for a class of concave-convex elliptic problems in \(\mathbb R^N\) involving sign-changing weight
• The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
• Fractional quantum mechanics and Lévy path integrals
• Multiple solutions of nonlinear Schrödinger equations with the fractional \(p\)-Laplacian
• The Nehari manifold for a semilinear elliptic equation involving a sublinear term
• Multiple solutions for the semilinear elliptic equations with the sign-changing logarithmic nonlinearity
• Bound state for the fractional Schrödinger equation with unbounded potential
• Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
• Non-local Diffusions, Drifts and Games
• Multiplicity results of fractionalp-Laplace equations with sign-changing and singular nonlinearity
• Positive solutions for the p-Laplacian: application of the fibrering method
• The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
• Non-homogeneous fractional Schr\"odinger equation
• Ground state solutions of asymptotically linear fractional Schrödinger equations

This page was built for publication: The Nehari manifold for a class of Schrödinger equation involving fractional p-Laplacian and sign-changing logarithmic nonlinearity