H1 versus C1 local minimizers on manifolds

Nonlinear Analysis, Theory, Methods and Applications

Volumn 26, Issue 9, 1996, Pages 1491-1509

  Tehrani, Hossein T ^a  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

Local minimizers; Min max theorems; Semilinear elliptic equations

Indexed keywords

BOUNDARY VALUE PROBLEMS; FUNCTIONS; INTEGRAL EQUATIONS; INTEGRATION; LAGRANGE MULTIPLIERS; PARTIAL DIFFERENTIAL EQUATIONS; TOPOLOGY;

GHOUSSOUBS THEOREM; HILBERT SPACE; LOCAL MINIMIZERS; MINIMUM MAXIMUM THEOREMS; SEMILINEAR ELLIPTIC EQUATIONS; SUBMANIFOLD;

MATHEMATICAL MODELS;

EID: 0030151091     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(95)00019-R     Document Type: Article

References (7)

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3. WANG Z. Q., On a semilinear elliptic equation, Ann. Inst. H. Poincare Analyse non Lineare 8, 43-57 (1991).
4. GILBARG D. & TRUDINGER S., Elliptic Partial Differential Equations of Second Order, 2nd edn, Grundlehren, Vol. 224. Springer, Berlin (1983).
5. GHOUSSOUB N., Duality and Perturbation Methods in Critical Point Theory, Cambridge Tracts in Mathematics. Cambridge University Press, Cambridge (1993).
6. YONGQING L., Three solutions of a semilinear elliptic eigenvalue problem, preprint.
7. CHANG K. C., A variant of mountain pass lemma, Scientia Sin. 26, 1241-1255 (1983).