Multi-bump type nodal solutions having a prescribed number of nodal domains: II

Zhaoli Liu1, Zhi-Qiang Wang2
1Department of Mathematics, Capital Normal University, Beijing 100037, PR China
2Department of Mathematics and Statistics, Utah State University, Logan, Utah 84322, USA

Tài liệu tham khảo

Bartsch, 2004, Sign changing solutions of superlinear Schrödinger equations, Comm. Partial Differential Equations, 29, 25, 10.1081/PDE-120028842 Coti Zelati, 1991, Homoclinic orbits for second order Hamiltonian systems possessing superquadratic potentials, J. Amer. Math. Soc., 4, 623, 10.1090/S0894-0347-1991-1119200-3 Coti Zelati, 1992, Homoclinic type solutions for a semilinear elliptic PDE on Rn, Comm. Pure Appl. Math., 45, 1217, 10.1002/cpa.3160451002 Liu, 2001, Invariant sets of descending flow in critical point theory with applications to nonlinear differential equations, J. Differential Equations, 172, 257, 10.1006/jdeq.2000.3867 Liu, 2005, Multi-bump type nodal solutions having a prescribed number of nodal domains: I, Ann. I. H. Poincaré – AN, 22, 597, 10.1016/j.anihpc.2004.10.002 van Heerden, 2004, Homoclinic solutions for a semilinear elliptic equation with an asymptotically linear nonlinearity, Calc. Var. Partial Differential Equations, 20, 431, 10.1007/s00526-003-0242-9