Non-degeneracy of the Local Minimizers
نویسندگان
چکیده
Abstract In this section we prove the non-degeneracy of solutions to one-phase problem ( 2.1 ). Our main result is following.
منابع مشابه
ساختار کلاسهایی از حلقه های z- موضعی و c- موضعی the structure of some classes of z-local and c-local rings
فرض کنیمr یک حلقه تعویض پذیر ویکدار موضعی باشدو(j(r رایکال جیکوبسن r و(z(r مجموعه مقسوم علیه های صفر حلقه r باشد.گوییم r یک حلقه z- موضعی است هرگاه j(r)^2=. .همچنین برای یک حلقه تعویض پذیر r فرض کنیم c یک عنصر ناصفر از (z( r باشد با این خاصیت که cz( r)=0 گوییم حلقه موضعی r یک حلقه c - موضعی است هرگاه و{0 و z(r)^2={cو z(r)^3=0, نیز xz( r)=0 نتیجه دهد که x عضو {c,0 } است. در این پایان نامه ساخ...
The Gradient Flow of the Möbius Energy Near Local Minimizers
In this article we show that for initial data close to local minimizers of the Möbius energy the gradient flow exists for all time and converges smoothly to a local minimizer after suitable reparametrizations. To prove this, we show that the heat flow of the Möbius energy possesses a quasilinear structure which allows us to derive new short-time existence results for this evolution equation and...
متن کاملLocal Minimizers of the Ginzburg-landau Functional with Prescribed Degrees
We consider, in a smooth bounded multiply connected domain D ⊂ R, the Ginzburg-Landau energy Eε(u) = 1 2 ∫ D { |∇u|2 + 1 2ε2 (1− |u|2)2 } subject to prescribed degree conditions on each component of ∂D. In general, minimal energy maps do not exist [4]. When D has a single hole, Berlyand and Rybalko [5] proved that for small ε local minimizers do exist. We extend the result in [5]: Eε(u) has, in...
متن کاملContinua of local minimizers in a non-smooth model of phase transitions
In this paper, we study critical points of the functional
متن کاملFroth-like Minimizers of a Non Local Free Energy Functional with Competing Interactions
We investigate the ground and low energy states of a one dimensional non local free energy functional describing at a mean field level a spin system with both ferromagnetic and antiferromagnetic interactions. In particular, the antiferromagnetic interaction is assumed to have a range much larger than the ferromagnetic one. The competition between these two effects is expected to lead to the spo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Lecture notes of the Unione Matematica Italiana
سال: 2022
ISSN: ['1862-9113', '1862-9121']
DOI: https://doi.org/10.1007/978-3-031-13238-4_4