MULTIPLE BIFURCATIONS OF SIGN-CHANGING SOLUTIONS FOR ONE-DIMENSIONAL p-LAPLACE EQUATION WITH A CRITICAL WEIGHT

作者：Kajikiya Ryuji^*; Lee Yong Hoon

来源：Advances in Differential Equations, 2014, 19(3-4): 283-316.

In this paper, we study one-dimensional p-Laplace equation, whose weight function has a critical power at the origin. We show the existence of infinitely many bifurcation branches emanating from the same single point and also study the existence and multiplicity of sign-changing solutions. Moreover, we investigate the global shape of bifurcation branches.

• 出版日期2014-4