Bound states of a nonhomogeneous nonlinear Schrödinger equation with non symmetric potential

被引：0
作者：
Raquel Lehrer
Liliane A. Maia
Ricardo Ruviaro
机构：
[1] Universidade Estadual do Oeste do Paraná-UNIOESTE,Centro de Ciências Exatas e Tecnológicas
[2] UnB,CCET
来源：
Nonlinear Differential Equations and Applications NoDEA | 2015年 / 22卷
关键词：
Asymptotically linear; Pohozaev identity; Concentration compactness; Cerami sequence; Barycenter; 35J20; 35J60; 35Q55;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Bound state solutions are found via a linking theorem for a class of nonhomogeneous nonlinear Schrödinger equations with nonsymmetric potentials, using concentration compactness arguments and projections on a general Pohozaev type manifold.
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页码：651 / 672
页数：21
相关论文
共 36 条
[1]  
Ambrosetti A.(2008)Solitons of linearly coupled systems of semilinear non-autonomous equations on J. Funct. Anal. 254 2816-2845
[2]  
Cerami G.(1973)Dual variational methods in critical point theory and applications J. Funct. Anal. 14 349-381
[3]  
Ruiz D.(2009)On the Schrödinger equation in Indiana Univ. Math. J. 58 1361-1378
[4]  
Ambrosetti A.(1997) under the effect of a general nonlinear term Ann. Inst. H. Poincaré Anal. Non Linéaire 14 363-413
[5]  
Rabinowitz P.H.(1983)On the existence of a positive solution of semilinear elliptic equations in unbounded domains Nonlinear Anal. 7 981-1012
[6]  
Azzollini A.(1987)Abstract critical point theorems and applications to some nonlinear problems with strong resonance at infinity Arch. Ration. Mech. Anal. 99 283-300
[7]  
Pomponio A.(2006)Positive solutions of some nonlinear elliptic problems in exterior domains Milan J. Math. 74 47-77
[8]  
Bahri A.(2001)Some nonlinear elliptic problems in unbounded domains J. Differ. Equ. 173 470-494
[9]  
Lions P.L.(1986)On a class of asymptotically linear elliptic problems in Arch. Ration. Mech. Anal. 91 283-308
[10]  
Bartolo P.(2002)On the existence of positive entire solutions of a semilinear elliptic equation ESAIM Control Optim. Calc. Var. 7 597-614
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