Concepedia

Concentration behavior of ground states for a generalized quasilinear Choquard equation

Xianyong Yang, Xianhua Tang, Guangze Gu

Mathematical Methods in the Applied Sciences · 2020 · 16 citations · 36 references

Concepts

Concentration BehaviorMonge-ampere EquationElliptic EquationPhysicsPotential TheoryDual ApproachGround StatesNonlinear Hyperbolic ProblemIntegrable SystemNonlinear Functional Analysis

Abstract

In this paper, we consider the following quasilinear Choquard equation: where , . Under some assumptions on and , we obtain the concentration behavior of ground states via dual approach.

References

36

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Quasilinear Schrödinger Equations, Topological Soliton, Integrable System +1

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Dual Approach, Elliptic Equation, Integrable System +1

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Soliton Solutions, Elliptic Equation, Nonlinear Wave Propagation +4