Existence of solutions of a class of nonlinear nonlocal problems involving the potential

DOI10.1016/j.chaos.2018.12.013zbMath1448.35528OpenAlexW2904077003WikidataQ128778874 ScholiaQ128778874MaRDI QIDQ2212414

Amin Esfahani

Publication date: 23 November 2020

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2018.12.013

zbMATH Keywords

variational methodpositive and nodal solutionspotential BO-ZK equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

Related Items

On a class of Kirchhoff equations involving an anisotropic operator and potential

Cites Work

• Lipschitz regularity of solutions for mixed integro-differential equations
• Stability and decay properties of solitary-wave solutions to the generalized BO-ZK equation
• Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum
• Regularity and rigidity theorems for a class of anisotropic nonlocal operators
• Hölder continuity of solutions of second-order non-linear elliptic integro-differential equations
• Anisotropic Gagliardo-Nirenberg inequality with fractional derivatives
• Instability of solitary wave solutions for the generalized BO-ZK equation
• Fractional quantum mechanics and Lévy path integrals
• Positive and nodal solutions of the generalized BO-ZK equation
• On the strong maximum principle for second order nonlinear parabolic integro-differential equations
• Large time behavior of periodic viscosity solutions for uniformly parabolic integro-differential equations
• Concentrating standing waves for the fractional nonlinear Schrödinger equation
• Three nodal solutions of singularly perturbed elliptic equations on domains without topology
• Radial sign-changing solution for fractional Schrödinger equation
• Bound state for the fractional Schrödinger equation with unbounded potential
• Sign Changing Solutions of Superlinear Schrödinger Equations
• Accelerated Imaginary‐time Evolution Methods for the Computation of Solitary Waves
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
• Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity
• Ground state solutions of asymptotically linear fractional Schrödinger equations
• Variational Methods
• Variant fountain theorems and their applications