Existence and multiplicity of solutions for some Dirichlet problems with impulsive effects

In this paper, we consider the existence and multiplicity of solutions for some Dirichlet impulsive problems and some existence and multiplicity results are obtained. The solutions are sought by means of Lax–Milgram theorem and some critical theorems.

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Veröffentlicht in:	Nonlinear analysis 2009-10, Vol.71 (7), p.2856-2865
Hauptverfasser:	Zhou, Jianwen, Li, Yongkun
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Commutative rings and algebras Critical points Dirichlet problems Exact sciences and technology Impulse Lax–Milgram theorem Mathematical analysis Mathematics Partial differential equations Sciences and techniques of general use
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Beschreibung
Zusammenfassung:	In this paper, we consider the existence and multiplicity of solutions for some Dirichlet impulsive problems and some existence and multiplicity results are obtained. The solutions are sought by means of Lax–Milgram theorem and some critical theorems.
ISSN:	0362-546X 1873-5215
DOI:	10.1016/j.na.2009.01.140