Multiple solutions for an elliptic problem related to vortex pairs

DOI10.1016/j.jde.2010.09.023zbMath1214.31005OpenAlexW2008639676MaRDI QIDQ633069

Shuangjie Peng, Yi Li

Publication date: 31 March 2011

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

Full work available at URL: http://hdl.handle.net/10211.3/177380

zbMATH Keywords

harmonic functionvortex pairvortex core

Mathematics Subject Classification ID

Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Related Items (9)

Multiple solutions for a free boundary problem arising in plasma physics ⋮ On 2D steady Euler flows with small vorticity near the boundary ⋮ Desingularization of Vortices for Two-Dimensional Steady Euler Flows via the Vorticity Method ⋮ Regularization of point vortices pairs for the Euler equation in dimension two ⋮ Planar vortex patch problem in incompressible steady flow ⋮ Multi-peak solutions to two types of free boundary problems ⋮ Desingularization of multiscale solutions to planar incompressible Euler equations ⋮ Steady vortex patches near a rotating flow with constant vorticity in a planar bounded domain ⋮ Regularization of planar vortices for the incompressible flow

Cites Work

• Asymptotic behaviour in planar vortex theory
• Analysis of boundary bubbling solutions for an anisotropic Emden-Fowler equation
• Nonlinear desingularization in certain free-boundary problems
• On the existence of global vortex rings
• Asymptotic estimates for the plasma problem
• Asymptotic shape and location of small cores in elliptic free-boundary problems
• Locating the peaks of least-energy solutions to a semilinear Neumann problem
• A global theory of steady vortex rings in an ideal fluid
• A multiplicity result for a variational problem with lack of compactness
• The Lazer-McKenna conjecture and a free boundary problem in two dimensions
• On steady vortex flow in two dimensios, II
• EXISTENCE AND ASYMPTOTIC BEHAVIOR IN PLANAR VORTEX THEORY
• On the shape of least‐energy solutions to a semilinear Neumann problem
• Steady planar vortex pairs in an ideal fluid
• Existence of steady symmetric vortex pairs on a planar domain with an obstacle
• On the location and profile of spike‐layer solutions to singularly perturbed semilinear dirichlet problems
• Global vortex rings and asymptotic behaviour
• An Elliptic Problem Related to Planar Vortex Pairs
• Existence of steady vortex rings in an ideal fluid
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