A NOTE ON NODAL NON-RADIALLY SYMMETRIC SOLUTIONS TO EMDEN-FOWLER EQUATIONS

作者：Ramos Miguel^*; Zou Wenming

来源：Electronic Journal of Differential Equations, 2009, 40.

• Emden-Fowler equation
• nodal solutions
• symmetric solutions
• variational methods

We prove the existence of an unbounded sequence of sign-changing and non-radially symmetric solutions to the problem -Delta u = vertical bar u vertical bar(p-1) u in Omega, u = 0 on partial derivative Omega, u(gx) = u(x), x is an element of Omega, g is an element of G, where Omega is an annulus of R(N) (N >= 3), 1 < p < (N + 2)/(N - 2) and G is a non-transitive closed subgroup of the orthogonal group O(N).

• 出版日期2009-3-19
• 单位清华大学