Multiple solutions to Hessian equations

作者：Dai Limei^*

来源：Manuscripta Mathematica, 2011, 134(3-4): 423-433.

DOI：10.1007/s00229-010-0401-1

This paper concerns with the multiple solutions of Hessian equations sigma(k)(lambda(D (2)u)) = f (x, u) in a (k - 1)-convex domain Omega subset of R(n). Using the methods of degree theory and a priori estimates we prove the existence of two or more solutions to the Hessian equations.

• 出版日期2011-3
• 单位潍坊学院