Multiplicity of positive solutions for a nonlinear fourth order equation
Volume 77 / 2001
Annales Polonici Mathematici 77 (2001), 161-168
MSC: Primary 34B18.
DOI: 10.4064/ap77-2-3
Abstract
We study the existence and multiplicity of positive solutions of the nonlinear fourth order problem $$ \left\{\eqalign{&\!u^{(4)} =\lambda f(u) \quad \hbox{in } (0,1),\cr &\!u(0)=a\ge 0, \quad u'(0)=a'\ge 0,\quad u(1)=b\ge 0,\quad u'(1)=-b'\le 0.\cr}\right. $$ The methods employed are upper and lower solutions and degree theory arguments.
