Results 21 to 30 of about 109 (95)
Regularity of subelliptic Monge-Ampère equations in the plane [PDF]
We establish a C ∞ C^\infty
Guan, Pengfei, Sawyer, Eric
openaire +1 more source
Degenerate Sobolev spaces and regularity of subelliptic equations [PDF]
We develop a notion of degenerate Sobolev spaces naturally associated with nonnegative quadratic forms that arise from a large class of linear subelliptic equations with rough coefficients. These Sobolev spaces allow us to make the widest possible definition of a weak solution that leads to local Hölder continuity of solutions, extending our results in
Sawyer, Eric T., Wheeden, Richard L.
openaire +1 more source
Gevrey regularity of subelliptic Monge–Ampère equations in the plane
22 ...
Chen, Hua, Li, Weixi, Xu, Chao-Jiang
openaire +3 more sources
On the Subelliptic Eikonal Equation
Bruno Pini Mathematical Analysis Seminar, Seminars ...
openaire +3 more sources
Regularity at the boundary for solutions of nonlinear subelliptic equations [PDF]
We establish an estimate, in terms of subelliptic \(p\)-capacity, for the modulus of continuity at the boundary of the solution to the Dirichlet problem associated to a class of subelliptic equations. We infer from it the sufficiency part of a Wiener type criterion for the regularity of boundary points.
openaire +1 more source
Harnack inequality for subelliptic p-Laplacian equations of Schrödinger type [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo, Yuxing, Jiang, Yinsheng
openaire +1 more source
Partial regularity for solutions to subelliptic eikonal equations
On a bounded domain Ω in the Euclidean space R n , we study the ...
Paolo Albano +2 more
openaire +3 more sources
Isotopies of complete minimal surfaces of finite total curvature
Abstract Let M$M$ be a Riemann surface biholomorphic to an affine algebraic curve. We show that the inclusion of the space ℜNC∗(M,Cn)$\Re \mathrm{NC}_*(M,\mathbb {C}^n)$ of real parts of nonflat proper algebraic null immersions M→Cn$M\rightarrow \mathbb {C}^n$, n⩾3$n\geqslant 3$, into the space CMI∗(M,Rn)$\mathrm{CMI}_*(M,\mathbb {R}^n)$ of complete ...
Antonio Alarcón +2 more
wiley +1 more source
The universal family of punctured Riemann surfaces is Stein
Abstract We show that the universal Teichmüller family V(g,n)$V(g,n)$ of compact Riemann surfaces of genus g⩾0$g\geqslant 0$ with n>0$n>0$ punctures is a Stein manifold. We describe its basic function‐theoretic properties and pose some challenging questions. We show, in particular, that the space of fibrewise algebraic functions on the universal family
Franc Forstnerič
wiley +1 more source
We investigated both fine‐scale SGS and leaf shape variation in five Fagaceae species (Q. glauca, Q. multinervis, C. tibetana, C. faberi, and C. fargesii) from the genera Quercus and Castanopsis in Wuyishan National Park. We found that Quercus species exhibit stronger fine‐scale SGS than Castanopsis species.
Rongle Wang +6 more
wiley +1 more source

