Sobolev

基本解釋

Existence and uniqueness are proved by Lax-Milgram theorem for a type of degenerate divergence elliptic equation in a type of Sobolev spaces with weight, and also the regularity will be studied.
先用Lax-Milgram定理証明一類退化散度型橢圓型方程在帶權(quán)Sobolev空間中弱解的存在唯一性,然後証明解的正則性。
In this paper we consider the existence of positive solutions and multiple solutions (possible not positive) of the semilinear elliptic equation with convex and concave nonlinearities, and critical Sobolev exponent.
本文考慮具有凹凸非線性和臨界Sobolev指數(shù)的半線性橢圓方程的正解和多重解(可能非正)的存在性。
This method has more advantages than polynomial interpolation and spline interpolation.When a node is increased each time, the approximate error decreases monotonically in the meaning of Sobolev norm.
與多項(xiàng)式插值、樣條插值相比，每增加一個(gè)節(jié)點(diǎn)，逼近誤差在索伯列夫範(fàn)數(shù)意義下單調(diào)下降；
Sobolev interpolation inequality
Sobolev插值不等式
Musielak - Orlicz - Sobolev spaces
Musielak-Orlicz-Sobolev空間