Positive solutions for the <i>p</i>-Laplacian: application of the fibrering method 论文

1997Proceedings of the Royal Society of Edinburgh Section A Mathematics引用 310
Nonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringNonlinear Differential Equations Analysis

摘要

Using the fibrering method, we prove the existence of multiple positive solutions of quasilinear problems of second order. The main part of our differential operator is p -Laplacian and we consider solutions both in the bounded domain Ω⊂ℝ N and in the whole of ℝ N . We also prove nonexistence results.