Curl-free Ginzburg–Landau vortices
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Publication:4700063
DOI10.1016/S0362-546X(98)00137-0zbMATH Open0940.35083arXivmath/9804118OpenAlexW1983611202WikidataQ127972688 ScholiaQ127972688MaRDI QIDQ4700063
Sagun Chanillo, Michael K.-H. Kiessling
Publication date: 19 July 2000
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Abstract: For certain nonlinear elliptic PDE problems in two dimensions, the classical isoperimetric inequality produces a sharp inequality that violates a Pohozaev identity except for radial symmetric, decreasing solutions. A generalized version of this technique is used here to prove radial symmetry of curl-free Ginzburg-Landau vortices.
Full work available at URL: https://arxiv.org/abs/math/9804118
Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)
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