Solvability of Planar Complex Vector Fields with Applications to Deformation of Surfaces
Abdelhamid Meziani · Birkhäuser Basel eBooks · 2010
Properties of solutions of a class of semilinear equations of the form Lu = f(x, y, u) , where L is a ℂ-valued planar vector field is studied. Series and integral representations are obtained in a tubular neighborhood of the characteristic curve of L. An application to infinitesimal bendings of surfaces with nonnegative curvature in ℝ 3 is given.