Results 21 to 30 of about 109 (95)

Regularity of subelliptic Monge-Ampère equations in the plane [PDF]

open access: yesTransactions of the American Mathematical Society, 2009
We establish a C ∞ C^\infty
Guan, Pengfei, Sawyer, Eric
openaire   +1 more source

Degenerate Sobolev spaces and regularity of subelliptic equations [PDF]

open access: yesTransactions of the American Mathematical Society, 2009
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

open access: yesAdvances in Mathematics, 2011
22 ...
Chen, Hua, Li, Weixi, Xu, Chao-Jiang
openaire   +3 more sources

On the Subelliptic Eikonal Equation

open access: yesBruno Pini Mathematical Analysis Seminar, 2017
Bruno Pini Mathematical Analysis Seminar, Seminars ...
openaire   +3 more sources

Regularity at the boundary for solutions of nonlinear subelliptic equations [PDF]

open access: yesIndiana University Mathematics Journal, 1995
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]

open access: yesJournal of Inequalities and Applications, 2013
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

open access: yesComptes Rendus. Mathématique, 2018
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

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
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

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
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

Fine‐Scale Spatial Genetic Structure and Leaf Shape Variation in Five Fagaceae Species: Insights Into Conservation and Adaptation

open access: yesEcology and Evolution, Volume 16, Issue 2, February 2026.
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

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