A Generalization of Ekeland's Variational Principle and Application to the Study of the Relation Between the Weak P.S. Condition and Coercivity

Nonlinear Analysis, Theory, Methods and Applications

Volumn 29, Issue 12, 1997, Pages 1421-1431

  Zhong, Cheng Kui ^a  

^a LANZHOU UNIVERSITY   (China)

Author keywords

Coercivity; Ekeland's variational principle; Lower semicontinuity; Metric space; The weak P.S. condition

Indexed keywords

FUNCTIONS; INTEGRAL EQUATIONS; THEOREM PROVING;

CRITICAL POINT THEORY; DEFORMATION THEOREM; EKELAND'S VARIATIONAL PRINCIPLE;

VARIATIONAL TECHNIQUES;

EID: 0031366004     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0362-546x(96)00180-0     Document Type: Article

References (7)

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3. Shi, S. Z., Ekeland's variational principle and the mountain pass lemma. Acta Math. Sinca (NS), 1985, 1, 348-358.
4. Bartolo, P., Benci, V. and Fortunato, D., Abstract critical point theorems and applications to some nonlinear problems with "strong" resonance at infinity. Nonlinear Analysis, 1983, 7(9), 981-1012.
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7. Costa, D. G. and Elves, de B. e Silva, The Palais-Smale condition versus coercivity. Nonlinear Analysis, 1991, 16, 371-381.