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math.AP2002★ 1 cited
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…
math.AP2002★ 1 cited
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…