Multiple solutions of a Schrödinger type semilinear equation

Xiaochun Liu; Jianfu Yang

Commentationes Mathematicae Universitatis Carolinae (2000)

  • Volume: 41, Issue: 4, page 735-745
  • ISSN: 0010-2628

Abstract

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Two nontrivial solutions are obtained for nonhomogeneous semilinear Schrödinger equations.

How to cite

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Liu, Xiaochun, and Yang, Jianfu. "Multiple solutions of a Schrödinger type semilinear equation." Commentationes Mathematicae Universitatis Carolinae 41.4 (2000): 735-745. <http://eudml.org/doc/248627>.

@article{Liu2000,
abstract = {Two nontrivial solutions are obtained for nonhomogeneous semilinear Schrödinger equations.},
author = {Liu, Xiaochun, Yang, Jianfu},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Schrödinger equation; multiple solutions; nonlinear Schrödinger equation; multiple solutions; Lyapunov-Schmidt reduction; mountain pass theorem},
language = {eng},
number = {4},
pages = {735-745},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Multiple solutions of a Schrödinger type semilinear equation},
url = {http://eudml.org/doc/248627},
volume = {41},
year = {2000},
}

TY - JOUR
AU - Liu, Xiaochun
AU - Yang, Jianfu
TI - Multiple solutions of a Schrödinger type semilinear equation
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2000
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 41
IS - 4
SP - 735
EP - 745
AB - Two nontrivial solutions are obtained for nonhomogeneous semilinear Schrödinger equations.
LA - eng
KW - Schrödinger equation; multiple solutions; nonlinear Schrödinger equation; multiple solutions; Lyapunov-Schmidt reduction; mountain pass theorem
UR - http://eudml.org/doc/248627
ER -

References

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  4. Buffoni B., Jeanjean L., Stuart C.A., Existence of a non-trivial solution to a strongly indefinite semilinear equation, Proc. Amer. Math. Soc. 119 1 (1993), 175-186. (1993) MR1145940
  5. Chabrowski J., Yang Jianfu, Existence theorems for the Schrödinger equation involving a critical Sobolev exponent, Z. Angew. Math. Phys. 49 (1998), 276-293. (1998) Zbl0903.35021MR1629187
  6. Cao D.M., Zhou H.S., Multiple positive solutions of nonhomogeneous semilinear elliptic equations on N , Proc. Royal Soc. Edinburgh 126A (1996), 443-463. (1996) MR1386873
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  8. de Figueiredo D.G., On superlinear elliptic problems with nonlinearities interacting only with higher eigenvalues, Rocky Mount. J. Math. 18 2 (1988), 287-303. (1988) Zbl0673.35027MR0951939
  9. de Figueiredo D.G., Yang Jianfu, Critical superlinear Ambrosetti-Prodi Problem, Topol. Methods Nonlinear Anal. 14 (1999), 59-80. (1999) MR1758880
  10. Jeanjean L., Two positive solutions for a class nonhomogeneous elliptic equations, Differential Integral Equations 10 (1997), 609-624. (1997) MR1741765
  11. Liu Xiaochun, Existence theorem of concave and convex effects for nonlinear Schrödinger equations, J. Nanchang Univ. Nat. Sci. 22 1 (1998), 31-38. (1998) 
  12. Pankov A.A., Pflüger K., On a semilinear Schrödinger equation with periodic potential, Nonlinear Anal. TMA 33 (1998), 593-609. (1998) MR1635911
  13. Rabinowitz P., Minimax methods in critical point theory with applications to differential equations, AMS Conf. Ser. Math. 65 (1986). Zbl0609.58002MR0845785

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