Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (5): 1264-1274.
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Received:
2013-07-21
Revised:
2014-05-14
Online:
2014-10-25
Published:
2014-10-25
Supported by:
国家自然科学基金(11261062)和山西省高校科技研究开发项目(20111129, 2013158)资助
CLC Number:
ZHANG Wen-Li, ZHONG Li-Nan. Multiplicity of Positive Solutions for a (p, q-Laplacian Elliptic Systems in RN[J].Acta mathematica scientia,Series A, 2014, 34(5): 1264-1274.
[1] Astrita G, Marrucci G. Principles of Non-Newtonian Fluid Mechanics. New York: McGraw-Hill, 1974 [2] Martinson L K, Pavlov K B. Unsteady shear flows of a conducting fluid with a rheological power law. Magnitnaya Gidrodinamika, 1971, 7(2): 50--58 [3] Figueiredo G M. Multiplicity of solutions for a class of elliptic systems in RN. Electronic Journal of Differential Equations, 2006, 76: 1--12 [4] Alves C O. Local mountain pass for a class of elliptic system. J Math Anal Appl, 2007, 335(1): 135--150 [5] Furtado M F, da Silva J P P, Multiplicity of solutions for homogeneous elliptic systems with critical growth. J Math Anal Appl, 2012, 385(2): 770--785 [6] Ikoma N, Tanaka K. A local mountain pass type result for a system of nonlinear Schrodinger equations. Calc Var, 2011, 40(3/4): 449--480 [7] Fang Y Q, Zhang J H. Multiplicity of solutions for elliptic system involving supercritical sobolev exponent. Acta Appl Math, 2011, 115(3): 255--264 [8] Figueiredo G M, FFurtado M F. Multiple positive solutions for a quasilinear system of Schrodinger equations. Nonlinear Differ Equ Appl, 2008, 15(3): 309--333 [9] Zhang H X, Liu W B. Existence of nontrivial solutions to perturbed p-Laplacian system in involving critical nonlinearity. [10] Alves C O. Multiplicity of positive solutions for a mixed boundary elliptic system. Rocky Mountain J Math, 2008, 38(1): 19--39 [11] Tang Z W. Spike-layer solutions to singularly perturbed semilinear systems of coupled Schrodinger equations. J Math Anal Appl, 2011, 377(1): 336--352 [12] Lin H L. Multiple positive solutions for semilinear elliptic systems involving subcritical onlinearities in RN. Boundary Value problems, 2012, 2012: 118 [13] Li Q, Yang Z D. Multiple positive solutions for quasilinear elliptic systems. Electronic Journal of Differential Equations, 2013, 15: 1--14 [14] 张文丽,钟立楠. RN中一类拟线性椭圆方程组非负解的存在性和多重性. 数学物理学报,2013, 33(1): 174--184
[16] Willem M. Minmax Theorems. Boston: Birkhauser, 1996 [17] Alves C O, Soares S H M. Existence and concentration of positive solutions for a class of gradient systems. Nonlinear Differential Equations and Applications NoDEA, 2006, 12(4): 437--457 [18] Silva E A B, Soares S H M. Quasilinear Dirichlet problems in RN with critical growth.Nolinear Anal, 2001, 43(1): 1--20 [19] Yang J F. Positive solutions of quaslinear elliptic obstacle problems with critical exponents.Nonlinear Anal, 1995, 25(12): 1283--1306 [20] Stavrakakis N M, Zographopoulos N B. Multiplicity and regularity results for some quasilinear elliptic systems on RN. [21] V\'{a}zquez J L. A strong maximum principle for some quasilinear elliptic equations.Appl Math Optim, 1984, 12(1): 191--202 [22] Cingolani S, Lazzo M. Multiple semiclassical standing waves for a class of nonlinear Schr\"odinger equations. Topol Methods Nonlinear Anal, 1997, 10: 1--13 |
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