Ground state solutions for a periodic Schrödinger equation with superlinear nonlinearities

[1]  P. Rabinowitz,et al.  Dual variational methods in critical point theory and applications , 1973 .

[2]  P. Lions.  The concentration-compactness principle in the Calculus of Variations , 1984 .

[3]  Michael Struwe,et al.  Variational methods: Applications to nonlinear partial differential equations and Hamiltonian systems , 1990 .

[4]  Paul H. Rabinowitz,et al.  Homoclinic type solutions for a semilinear elliptic PDE on ℝn , 1992 .

[5]  Paul H. Rabinowitz,et al.  On a class of nonlinear Schrödinger equations , 1992 .

[6]  Yanyan Li,et al.  On multibump' bound states for certain semilinear elliptic equations , 1992 .

[7]  B. Buffoni,et al.  Existence of a nontrivial solution to a strongly indefinite semilinear equation , 1993 .

[8]  M. Willem.  Minimax Theorems , 1997 .

[9]  Andrzej Szulkin,et al.  Generalized linking theorem with an application to a semilinear Schrödinger equation , 1998, Advances in Differential Equations.

[10]  Yanheng Ding,et al.  On a nonlinear Schrödinger equation with periodic potential , 1999 .

[11]  Louis Jeanjean,et al.  On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN , 1999, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

[12]  A. Szulkin,et al.  On a semilinear Schrodinger equation with critical Sobolev exponent , 2001 .

[13]  Wenming Zou,et al.  Homoclinic Orbits for Asymptotically Linear Hamiltonian Systems , 2001 .

[14]  Martin Schechter,et al.  WEAK LINKING THEOREMS AND SCHR¨ ODINGER EQUATIONS WITH CRITICAL SOBOLEV EXPONENT , 2003 .

[15]  Wenming Zou,et al.  On a Schrodinger equation with periodic potential and spectrum point zero , 2003 .

[16]  Zhi-Qiang Wang,et al.  On the Ambrosetti-Rabinowitz Superlinear Condition , 2004 .

[17]  A. Pankov.  Periodic Nonlinear Schrödinger Equation with Application to Photonic Crystals , 2004 .

[18]  Jing Zeng,et al.  Ground states of nonlinear Schrödinger equations with potentials , 2006 .

[19]  Tobias Weth,et al.  Ground state solutions for some indefinite variational problems , 2009 .