Multiple sign-changing radially symmetric solutions in a general class of quasilinear elliptic equations

作者：Alves Claudianor O^*; Goncalves Jose V A; Silva Kaye O

来源：Zeitschrift fur Angewandte Mathematik und Physik, 2015, 66(5): 2601-2623.

DOI：10.1007/s00033-015-0543-9

• N-function
• Shooting method
• Sign-changing solution

In this paper we prove that the equation , where are given real numbers, is a suitable twice-differentiable function, is a real parameter and is continuous, admits an infinite sequence of sign-changing solutions satisfying . The function f is required to satisfy tf(t) > 0 for . Our technique explores fixed point arguments applied to suitable integral equations and shooting arguments. Our main result extends earlier ones in the case is in the form for an appropriate constant .

• 出版日期2015-10