On the number of solutions of a quadratic equation in a normed spaceEnglish Full Text
ALEXANDROV Victor;Sobolev Institute of Mathematics;Department of Physics,Novosibirsk State University;
Abstract: Consider the equation Q（u） = g,where Q is a continuous quadratic operator acting from one normed space to another one.Obviously,if u is a solution of such equation,then-u is also a solution.Conditions implying that there are no other solutions are given and applied to the study of the Dirichlet boundary value problem for the partial differential equation uΔu = g.
- DOI：
10.13482/j.issn1001-7011.2015.12.299
- Series：
- Subject：
- Classification Code：
O177
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