|
- 2018
分数阶椭圆方程近共振问题解的多重性
|
Abstract:
在推广的Landesman-Lazer条件下,利用极小极大方法获得了分数阶椭圆方程在高阶特征值近共振处多个解的存在性.
Under a generalized Landesman-Lazer type condition, the existence of two solutions for the fractional equation near resonance at higher eigenvalues is obtained by using the minimax methods
[1] | OU Z Q, TANG C L. Resonance Problems for the p-Laplacian Systems[J]. J Math Anal Appl, 2008, 345(1): 511-521. DOI:10.1016/j.jmaa.2008.04.001 |
[2] | SUN J J, TANG C L. Resonance Problems for Kirchhoff Type Equations[J]. Discrete Contin Dyn Syst, 2013, 33(5): 2139-2154. |
[3] | XIANG M Q, ZHANG B L, FERRARA M. Existence of Solutions for Kirchhoff Type Problem Involving the Non-Local Fractional p-Laplacian[J]. J Math Anal Appl, 2015, 424(2): 1021-1041. DOI:10.1016/j.jmaa.2014.11.055 |
[4] | TANG C L. Solvability for Two-Point Boundary Value Problems[J]. J Math Anal Appl, 1997, 216(1): 368-374. DOI:10.1006/jmaa.1997.5664 |
[5] | KE X F, TANG C L. Multiple Solutions for Semilinear Elliptic Equations Near Resonance at Higher Eigenvalues[J]. Nonlinear Anal, 2011, 74(3): 805-813. DOI:10.1016/j.na.2010.09.031 |
[6] | MARINO A, MICHELETTI A M, PISTOIA A. A Nonsymmetric Asymptotically Linear Elliptic Problem[J]. Topol Methods Nonlinear Anal, 1994, 4(2): 289-339. DOI:10.12775/TMNA.1994.031 |