We consider a Ginzburg-Landau type equation in with a potential function J satisfying weak conditions allowing for example a zero of infinite order in the origin. We extend in this context the results concerning quantization of finite potential solutions of H. Brezis, F. Merle, T. Rivière who treat the case when J behaves polinomially near 0, as well as a result of Th. Cazenave, found in the same reference, and concerning the form of finite energy solutions.
A Liouville Type Result and Quantization Effects on the System -∆u=uJ'(1-|u|^2) for a Potential Convex Near Zero / DE MAIO, Umberto; Hadiji, Rejeb; Lefter, Catalin; Perugia, Carmen. - In: ADVANCES IN DIFFERENTIAL EQUATIONS. - ISSN 1079-9389. - 28:7-8(2023), pp. 613-636. [10.57262/ade028-0708-613]
A Liouville Type Result and Quantization Effects on the System -∆u=uJ'(1-|u|^2) for a Potential Convex Near Zero.
Umberto De Maio;
2023
Abstract
We consider a Ginzburg-Landau type equation in with a potential function J satisfying weak conditions allowing for example a zero of infinite order in the origin. We extend in this context the results concerning quantization of finite potential solutions of H. Brezis, F. Merle, T. Rivière who treat the case when J behaves polinomially near 0, as well as a result of Th. Cazenave, found in the same reference, and concerning the form of finite energy solutions.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
