Zobrazeno 1 - 10
of 68
pro vyhledávání: '"Lancaster, Kirk"'
Autor:
Lancaster, Kirk, Entekhabi, Mozhgan "Nora"
We investigate the boundary behavior of the variational solution $f$ of a Dirichlet problem for a prescribed mean curvature equation in a domain $\Omega\subset{\bf R}^{2}$ near a point $\mathcal{O}\in\partial\Omega$ under different assumptions about
Externí odkaz:
http://arxiv.org/abs/1909.04741
We investigate the boundary behavior of variational solutions of Dirichlet problems for prescribed mean curvature equations at smooth boundary points where certain boundary curvature conditions are satisfied (which preclude the existence of local bar
Externí odkaz:
http://arxiv.org/abs/1901.09920
Autor:
Entekhabi, Mozhgan, Lancaster, Kirk E.
The radial limits at a point ${\bf y}$ of the boundary of the domain $\Omega\subset {\bf R}^{2}$ of a bounded variational solution $f$ of Dirichlet or contact angle boundary value problems for a prescribed mean curvature equation are studied with an
Externí odkaz:
http://arxiv.org/abs/1808.08599
Publikováno v:
Taiwanese Journal of Mathematics, 2021 Jun 01. 25(3), 599-613.
Externí odkaz:
https://www.jstor.org/stable/27083161
The radial limits of a nonparametric prescribed mean curvature surface uniquely determine the surface.
Comment: The authors are no longer in contact and are not collaborating. The draft was very preliminary and represented the work of the third
Comment: The authors are no longer in contact and are not collaborating. The draft was very preliminary and represented the work of the third
Externí odkaz:
http://arxiv.org/abs/1702.00456
Publikováno v:
Pacific J. Math. 292 (2018) 355-371
The principle existence theorem (i.e. Theorem 1) of "Existence and Behavior of the Radial Limits of a Bounded Capillary Surface at a Corner" (Pacific J. Math. Vol. 176, No. 1 (1996), 165-194) is extended to the case of a contact angle $\gamma$ which
Externí odkaz:
http://arxiv.org/abs/1701.03336
Publikováno v:
Taiwanese Journal of Mathematics, 2020 Apr 01. 24(2), 483-499.
Externí odkaz:
https://www.jstor.org/stable/26907407
The nonexistence of "cusp solutions" of prescribed mean curvature boundary value problems in $\Omega\times{\bf R}$ when $\Omega$ is a domain in ${\bf R}^{2}$ is proven in certain cases and an application to radial limits at a corner is mentioned.
Externí odkaz:
http://arxiv.org/abs/1611.09267
Publikováno v:
Pacific J. Math. 288 (2017) 55-67
Consider a solution $f\in C^{2}(\Omega)$ of a prescribed mean curvature equation \[ {\rm div}\left(\frac{\nabla f}{\sqrt{1+|\nabla f|^{2}}}\right)=2H(x,f) \ \ \ \ {\rm in} \ \ \Omega\subset R^{2}, \] where $\Omega$ is a domain whose boundary has a co
Externí odkaz:
http://arxiv.org/abs/1604.01836
Autor:
Entekhabi, Mozhgan, Lancaster, Kirk E.
Publikováno v:
Pacific J. Math. 283 (2016) 341-351
Consider a solution $f\in C^{2}(\Omega)$ of a prescribed mean curvature equation \[ {\rm div}\left(\frac{\nabla f}{\sqrt{1+|\nabla f|^{2}}}\right)=2H(x,f) \ \ \ \ {\rm in} \ \ \Omega, \] where $\Omega\subset \Real^{2}$ is a domain whose boundary has
Externí odkaz:
http://arxiv.org/abs/1510.05288