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Volumn 31, Issue 5-6, 1998, Pages 735-753

On a critical point theory for multivalued functionals and application to partial differential inclusions

Author keywords

Boundary value problem for partial differential inclusions; Critical point theory; Lower semi continuous functionals; Multivalued functionals

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; FUNCTIONS; GRAPH THEORY; INTEGRATION; THEOREM PROVING; VARIATIONAL TECHNIQUES;

EID: 0032011417     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(97)00436-7     Document Type: Article
Times cited : (22)

References (18)
  • 1
    • 0000993645 scopus 로고
    • Variational methods for non-differentiable functionals and their applications to partial differential equations
    • Chang, K. C., Variational methods for non-differentiable functionals and their applications to partial differential equations. J. Math. Anal. Appl., 1981, 80, 102-129.
    • (1981) J. Math. Anal. Appl. , vol.80 , pp. 102-129
    • Chang, K.C.1
  • 2
    • 0001247026 scopus 로고
    • Deformation properties for continuous functionals and critical point theory
    • Corvellec, J.-N., Degiovanni, M. and Marzocchi, M., Deformation properties for continuous functionals and critical point theory. Topol. Methods Nonlinear Anal., 1993, 1, 151-171.
    • (1993) Topol. Methods Nonlinear Anal. , vol.1 , pp. 151-171
    • Corvellec, J.-N.1    Degiovanni, M.2    Marzocchi, M.3
  • 3
    • 0003095816 scopus 로고
    • A critical point theory for nonsmooth functionals
    • Degiovanni, M. and Marzocchi, M., A critical point theory for nonsmooth functionals. Ann. Mat. Pura Appl., 1994, 167, 73-100.
    • (1994) Ann. Mat. Pura Appl. , vol.167 , pp. 73-100
    • Degiovanni, M.1    Marzocchi, M.2
  • 4
    • 0002349602 scopus 로고
    • Minimax principles for lower semi-continuous functions and application to nonlinear boundary value problems
    • Szulkin, A., Minimax principles for lower semi-continuous functions and application to nonlinear boundary value problems. Ann. Inst. H. Poincaré Anal. non Linéaire, 1986, 3, 77-109.
    • (1986) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.3 , pp. 77-109
    • Szulkin, A.1
  • 5
    • 0002162565 scopus 로고
    • Nonsmooth critical point theory and quasilinear elliptic equations
    • NATO ASI Series, Ser. C: Math, and Phys. Sci. Birkhäuser, Dordrecht
    • Canino, A. and Degiovanni, M., Nonsmooth critical point theory and quasilinear elliptic equations. Topological Methods in Differential Equations and Inclusions. NATO ASI Series, Ser. C: Math, and Phys. Sci. Birkhäuser, Dordrecht, 1995, pp. 1-50.
    • (1995) Topological Methods in Differential Equations and Inclusions , pp. 1-50
    • Canino, A.1    Degiovanni, M.2
  • 6
    • 0001080086 scopus 로고
    • Critical point theory and the minimax principle
    • Berkeley, 1968, American Mathematical Society, Providence
    • Palais, R. S., Critical point theory and the minimax principle. Global Analysis, Proc. Sympos. Pure Math., Berkeley, 1968, Vol. 15. American Mathematical Society, Providence, 1970, pp. 185-212.
    • (1970) Global Analysis, Proc. Sympos. Pure Math. , vol.15 , pp. 185-212
    • Palais, R.S.1
  • 7
    • 0002512686 scopus 로고
    • Location, multiplicity and morse indices of min-max critical points
    • Ghoussoub, N., Location, multiplicity and morse indices of min-max critical points. J. Reine Angew. Math., 1991, 417, 27-76.
    • (1991) J. Reine Angew. Math. , vol.417 , pp. 27-76
    • Ghoussoub, N.1
  • 8
    • 0003288355 scopus 로고
    • Critical points and nonlinear variational problems
    • Ambrosetti, A., Critical points and nonlinear variational problems. Mém. Soc. Math. France, 1992, 49.
    • (1992) Mém. Soc. Math. France , vol.49
    • Ambrosetti, A.1
  • 9
    • 38249022823 scopus 로고
    • The dual variational principle and elliptic problems with discontinuous nonlinearities
    • Ambrosetti, A. and Badiale, M., The dual variational principle and elliptic problems with discontinuous nonlinearities. J. Math. Anal. Appl., 1989, 140, 363-373.
    • (1989) J. Math. Anal. Appl. , vol.140 , pp. 363-373
    • Ambrosetti, A.1    Badiale, M.2
  • 10
    • 38249016910 scopus 로고
    • Critical point theory for nondifferentiable functionals and applications
    • Costa, D. G. and Gonçalves, J. V. A., Critical point theory for nondifferentiable functionals and applications. J. Math. Anal. Appl., 1990, 153, 470-485.
    • (1990) J. Math. Anal. Appl. , vol.153 , pp. 470-485
    • Costa, D.G.1    Gonçalves, J.V.A.2
  • 11
    • 84959818065 scopus 로고
    • A variational method for boundary value problems with discontinuous nonlinearities
    • Stuart, C. A. and Toland, J. F., A variational method for boundary value problems with discontinuous nonlinearities. J. London Math. Soc., 1980, 21, 329-335.
    • (1980) J. London Math. Soc. , vol.21 , pp. 329-335
    • Stuart, C.A.1    Toland, J.F.2
  • 12
    • 38249020045 scopus 로고
    • Multiplicity of eigenvalues for the Laplace operator with respect to an obstacle, and nontangency conditions
    • Cobanov, G., Marino, A. and Scolozzi, D., Multiplicity of eigenvalues for the Laplace operator with respect to an obstacle, and nontangency conditions. Nonlinear Analysis, 1990, 15, 199-215.
    • (1990) Nonlinear Analysis , vol.15 , pp. 199-215
    • Cobanov, G.1    Marino, A.2    Scolozzi, D.3
  • 15
    • 0040577871 scopus 로고
    • Heat equations with discontinuous nonlinearities on convex and nonconvex constraints
    • Frigon, M. and Saccon, C., Heat equations with discontinuous nonlinearities on convex and nonconvex constraints. Nonlinear Analysis, 1991, 17, 923-946.
    • (1991) Nonlinear Analysis , vol.17 , pp. 923-946
    • Frigon, M.1    Saccon, C.2
  • 16
    • 0009117197 scopus 로고
    • Sur un principle général de type min-max en théorie des points critiques
    • Corvellec, J.-N., Sur un principle général de type min-max en théorie des points critiques. C. R. Acad. Sci. Paris Sér. 1, 1990, 311, 443-446.
    • (1990) C. R. Acad. Sci. Paris Sér. 1 , vol.311 , pp. 443-446
    • Corvellec, J.-N.1
  • 17
    • 0001901435 scopus 로고
    • Minimax methods in critical point theory with applications to differential equations
    • American Mathematical Society, Providence
    • Rabinowitz, P., Minimax methods in critical point theory with applications to differential equations. CBMS Regional Conf. Ser. in Math., Vol. 65. American Mathematical Society, Providence, 1986.
    • (1986) CBMS Regional Conf. Ser. in Math. , vol.65
    • Rabinowitz, P.1
  • 18
    • 0010116635 scopus 로고
    • Some elementary general principles of convex analysis
    • Granas, A. and Lassonde, M., Some elementary general principles of convex analysis. Topol. Methods Nonlinear Anal., 1995, 5, 23-37.
    • (1995) Topol. Methods Nonlinear Anal. , vol.5 , pp. 23-37
    • Granas, A.1    Lassonde, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.