Infinitely many solutions for three classes of self-similar equations, with the p-Laplace operator
نویسنده
چکیده
We study the global solution curves, and prove the existence of infinitely many positive solutions for three classes of self-similar equations, with p-Laplace operator. In case p = 2, these are well-known problems involving the Gelfand equation, the equation modeling electrostatic micro-electromechanical systems (MEMS), and a polynomial nonlinearity. We extend the classical results of D.D. Joseph and T.S. Lundgren [8] to the case p 6= 2, and we generalize the main result of Z. Guo and J. Wei [6] on the equation modeling MEMS.
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