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Four-end Solutions to Elliptic Sine-gordon Equation on the Plane

Year: 2025

Type: article

Abstract: The elliptic sine-Gordon equation is a semilinear elliptic PDE with a special double-well potential. It has multi-end solutions. We prove that in 4-end case, these solutions are uniquely given by the Hirota form. Moreover, we prove these solutions are L^infinity-nondegenerate and have Morse index one.

Source: Stanford Digital Repository

DOI: 10.25740/xd289kj3328

Authors: Dai, Yunchu, Chodosh, Otis

Institution: Stanford University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6889683430

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