1 citations · 2 across the 2 of their papers we have counts for
7 papers
Non-Linear Eigenvalues and Analytic Hypoellipticity
Sagun Chanillo, Bernard Helffer, Ari Laptev
Motivated by the problems of analytic hypoellipticity, we show that a special family of compact non self-adjoint operators has a non-zero eigenvalue. We recover old results by Chri…
Asymptotic Morse theory for the equation $\D v = 2 v_x \wedge v_y$
S. Chanillo, A. Malchiodi
Given a smooth bounded domain , we consider the equation $\D v = 2 v_x \wedge v_y$ in , where . We prescribe Dirichlet boundary datum, and conside…
Kirillov theory, Treves strata, Schrodinger equations and analytic hypoellipticity of sums of squares
Sagun Chanillo
We attach representations to non-symplectic stratum in the characteristic set of real vector fields. This leads to Schrodinger operators. The analysis of the solutions of these Sch…
The conformal plate buckling equation
Sagun Chanillo, Michael K. -H. Kiessling
We study the conformal plate buckling equation (Laplace--Beltrami)^2 u =1, where the L-B operator is for the metric g = e^{2u}g_0, with the standard Euclidean metric on R^2.…
The Free Boundary Problem in the Optimization of Composite Membranes
S. Chanillo, D. Grieser, K. Kurata
This is a continuation of the paper 'Symmetry breaking and other phenomena in the optimization of eigenvalues for composite membranes' by S. Chanillo, D. Grieser, M. Imai, K. Kurat…
Surfaces with radially symmetric prescribed Gauss curvature
Sagun Chanillo, Michael K. -H. Kiessling
We study conformally flat surfaces with prescribed Gaussian curvature, described by solutions of the PDE: , with the Gauss curvature function at…