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- University of British ColumbiaCA4 papers
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6 papers · 1 filter
Iterations of anti-selfdual Lagrangians and applications to Hamiltonian systems and multiparameter gradient flows
Nassif Ghoussoub, Leo Tzou
Anti-selfdual Lagrangians on a state space lift to path space provided one adds a suitable selfdual boundary Lagrangian. This process can be iterated by considering the path space…
Anti-selfdual Lagrangians II: Unbounded non self-adjoint operators and evolution equations
Nassif Ghoussoub, Leo Tzou
This paper is a continuation of [13], where new variational principles were introduced based on the concept of anti-selfdual (ASD) Lagrangians. We continue here the program of usin…
Homogeneous Solutions to Fully Nonlinear Elliptic Equations
Nikolai Nadirashvili, Yu Yuan
We classify homogeneous degree solutions to fully nonlinear elliptic equations.
Global solutions to special Lagrangian equations
Yu Yuan
We show that any global solution to the special Lagrangian equations with the phase larger than a critical value must be quadratic.
The "hot spots" problem in planar domains with one hole
Krzysztof Burdzy
There exists a planar domain with piecewise smooth boundary and one hole such that the second eigenfunction for the Laplacian with Neumann boundary conditions attains its maximum a…
Two dimensional compact simple Riemannian manifolds are boundary distance rigid
L. Pestov, G. Uhlmann
We prove that knowing the length of geodesics joining points on the boundary of a two-dimensional, compact, simple Riemannian manifold with boundary, we can determine uniquely the…