Asymptotic Behavior of Positive Solutions of a Nonlinear Combined p-Laplacian Equation

作者：Maagli Habib^*; Chemmam Rym; Ben Othman Sonia

来源：Mediterranean Journal of Mathematics, 2014, 11(3): 857-872.

DOI：10.1007/s00009-013-0368-8

• p-Laplacian
• asymptotic behavior
• positive solutions
• sub and super solution

For p > 1, we establish existence and asymptotic behavior of a positive continuous solution to the following boundary value problem where is a positive differentiable function and a (1), a (2) are two positive functions in satisfying some appropriate assumptions related to Karamata regular variation theory. Also, we obtain an uniqueness result when . Our arguments combine a method of sub and supersolutions with Karamata regular variation theory.

• 出版日期2014-8