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Volumn 26, Issue 2, 1996, Pages 217-240

Multiple finite energy states for critical potential systems

Author keywords

Asymptotic decay; Critical; Elliptic; Finite energy; Multiple solutions; Potential system; Semilinear

Indexed keywords


EID: 0041539577     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(94)00276-N     Document Type: Article
Times cited : (2)

References (33)
  • 1
    • 0001596880 scopus 로고
    • Équations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
    • AUBIN TH., Équations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire, J. Math. pures appl. 55, 269-296 (1976).
    • (1976) J. Math. Pures Appl. , vol.55 , pp. 269-296
    • Aubin, T.H.1
  • 3
    • 0001294182 scopus 로고
    • The concentration-compactness principle in the calculus of variations. The limit case, Parts 1 & 2
    • LIONS P.-L., The concentration-compactness principle in the calculus of variations. The limit case, Parts 1 & 2, Revta. Math. Ibero. 1(1), 145-201 (1985); 1(2), 46-120 (1985).
    • (1985) Revta. Math. Ibero. , vol.1 , Issue.1 , pp. 145-201
    • Lions, P.-L.1
  • 4
    • 0042263196 scopus 로고
    • LIONS P.-L., The concentration-compactness principle in the calculus of variations. The limit case, Parts 1 & 2, Revta. Math. Ibero. 1(1), 145-201 (1985); 1(2), 46-120 (1985).
    • (1985) Revta. Math. Ibero. , vol.1 , Issue.2 , pp. 46-120
  • 5
    • 84972506352 scopus 로고
    • Conformal deformation of a Riemannian metric to constant scalar curvature
    • SCHOEN R., Conformal deformation of a Riemannian metric to constant scalar curvature, J. diff. Geometry 20, 479-496 (1984).
    • (1984) J. Diff. Geometry , vol.20 , pp. 479-496
    • Schoen, R.1
  • 6
    • 0001735158 scopus 로고
    • Remarks on the Schrödinger operator with singular complex potentials
    • BRÉZIS H. & KATO T., Remarks on the Schrödinger operator with singular complex potentials, J. Math. pures appl. 58, 137-151 (1979).
    • (1979) J. Math. Pures Appl. , vol.58 , pp. 137-151
    • Brézis, H.1    Kato, T.2
  • 8
    • 0001647885 scopus 로고
    • Some variational problems with lack of compactness
    • BRÉZIS H., Some variational problems with lack of compactness, Proc. Symp. Pure Math. 45, 165-201 (1986).
    • (1986) Proc. Symp. Pure Math. , vol.45 , pp. 165-201
    • Brézis, H.1
  • 9
    • 34250392866 scopus 로고
    • Best constants in Sobolev inequality
    • TALENTI G., Best constants in Sobolev inequality, Annali. Mat. pura appl. 110, 353-372 (1976).
    • (1976) Annali. Mat. Pura Appl. , vol.110 , pp. 353-372
    • Talenti, G.1
  • 10
    • 84990613834 scopus 로고
    • Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents
    • BRÉZIS H. & NIRENBERG L., Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents, Communs pure appl. Math. 36, 437-477 (1983).
    • (1983) Communs Pure Appl. Math. , vol.36 , pp. 437-477
    • Brézis, H.1    Nirenberg, L.2
  • 11
    • 0000734186 scopus 로고
    • Some existence results for superlinear elliptic boundary value problems involving critical exponents
    • CERAMI G., SOLIMINI S. & STRUWE M., Some existence results for superlinear elliptic boundary value problems involving critical exponents, J. funct. Analysis 69, 289-306 (1986).
    • (1986) J. Funct. Analysis , vol.69 , pp. 289-306
    • Cerami, G.1    Solimini, S.2    Struwe, M.3
  • 13
    • 38249026757 scopus 로고
    • Multiple entire solutions of a semilinear elliptic equation
    • ZHU X.-P., Multiple entire solutions of a semilinear elliptic equation, Nonlinear Analysis 12, 1297-1316 (1988).
    • (1988) Nonlinear Analysis , vol.12 , pp. 1297-1316
    • Zhu, X.-P.1
  • 14
    • 38249017964 scopus 로고
    • Nodal solutions of elliptic equations with critical Sobolev exponents
    • ATKINSON F. V., BRÉZIS H. & PELETIER L. A., Nodal solutions of elliptic equations with critical Sobolev exponents, J. diff. Eqns 85, 151-170 (1990).
    • (1990) J. Diff. Eqns , vol.85 , pp. 151-170
    • Atkinson, F.V.1    Brézis, H.2    Peletier, L.A.3
  • 16
    • 38249013576 scopus 로고
    • Asymptotic results for finite energy solutions of semilinear elliptic equations
    • EGNELL H., Asymptotic results for finite energy solutions of semilinear elliptic equations, J. diff. Eqns 98, 34-56 (1992).
    • (1992) J. Diff. Eqns , vol.98 , pp. 34-56
    • Egnell, H.1
  • 17
    • 84990609068 scopus 로고
    • Positive solutions for some semilinear elliptic equations with critical Sobolev exponents
    • ESCOBAR J. F., Positive solutions for some semilinear elliptic equations with critical Sobolev exponents, Communs pure appl. Math. 40, 623-657 (1987).
    • (1987) Communs Pure Appl. Math. , vol.40 , pp. 623-657
    • Escobar, J.F.1
  • 18
    • 84980182383 scopus 로고
    • Global and local behavior of positive solutions of nonlinear elliptic equations
    • GIDAS B. & SPRUCK J., Global and local behavior of positive solutions of nonlinear elliptic equations, Communs pure appl. Math. 34, 525-598 (1981).
    • (1981) Communs Pure Appl. Math. , vol.34 , pp. 525-598
    • Gidas, B.1    Spruck, J.2
  • 19
    • 0000351081 scopus 로고
    • Quasilinear elliptic equations involving critical Sobolev exponents
    • GUEDDA M. & VERON L., Quasilinear elliptic equations involving critical Sobolev exponents, Nonlinear Analysis 13, 879-902 (1989).
    • (1989) Nonlinear Analysis , vol.13 , pp. 879-902
    • Guedda, M.1    Veron, L.2
  • 20
    • 0007298992 scopus 로고
    • On positive entire solutions of a class of second order semilinear elliptic systems
    • KAWANO N. & KUSANO T., On positive entire solutions of a class of second order semilinear elliptic systems, Math. Z. 186, 287-297 (1984).
    • (1984) Math. Z. , vol.186 , pp. 287-297
    • Kawano, N.1    Kusano, T.2
  • 21
    • 38249039014 scopus 로고
    • On the solvability of some elliptic partial differential equations with the linear part at resonance
    • SOLIMINI S., On the solvability of some elliptic partial differential equations with the linear part at resonance, J. math. Analysis Applic. 117, 138-152 (1986).
    • (1986) J. Math. Analysis Applic. , vol.117 , pp. 138-152
    • Solimini, S.1
  • 22
    • 84947517119 scopus 로고
    • On the Dirichlet problem for quasilinear equations in domains with conical boundary points
    • TOLKSDORF P., On the Dirichlet problem for quasilinear equations in domains with conical boundary points, Communs partial diff. Eqns 8, 773-817 (1983).
    • (1983) Communs Partial Diff. Eqns , vol.8 , pp. 773-817
    • Tolksdorf, P.1
  • 23
    • 0001335714 scopus 로고
    • A strong maximum principle for some quasilinear elliptic equations
    • VAZQUEZ J. L., A strong maximum principle for some quasilinear elliptic equations, Appl. Math. Optim. 12, 191-202 (1984).
    • (1984) Appl. Math. Optim. , vol.12 , pp. 191-202
    • Vazquez, J.L.1
  • 24
    • 84976013862 scopus 로고
    • Positive solutions of elliptic systems with bounded nonlinearities
    • NOUSSAIR E. S. & SWANSON C. A., Positive solutions of elliptic systems with bounded nonlinearities, Proc. R. Soc. Edinb. A108, 321-332 (1988).
    • (1988) Proc. R. Soc. Edinb. , vol.A108 , pp. 321-332
    • Noussair, E.S.1    Swanson, C.A.2
  • 27
    • 0004828916 scopus 로고
    • Positive finite energy solutions of critical semilinear elliptic problems
    • NOUSSAIR E. S., SWANSON C. A. & YANG J., Positive finite energy solutions of critical semilinear elliptic problems, Can. J. Math. 44, 1014-1029 (1992).
    • (1992) Can. J. Math. , vol.44 , pp. 1014-1029
    • Noussair, E.S.1    Swanson, C.A.2    Yang, J.3
  • 28
    • 84941275804 scopus 로고
    • A relation between pointwise convergence of functions and convergence of functionals
    • BRÉZIS H. & LIEB E. H., A relation between pointwise convergence of functions and convergence of functionals, Proc. Am. math. Soc. 88, 486-490 (1983).
    • (1983) Proc. Am. Math. Soc. , vol.88 , pp. 486-490
    • Brézis, H.1    Lieb, E.H.2
  • 29
    • 34548350707 scopus 로고
    • Dual variational methods in critical point theory and applications
    • AMBROSETTI A. & RABINOWITZ P. H., Dual variational methods in critical point theory and applications, J. funct. Analysis 14, 349-381 (1973).
    • (1973) J. Funct. Analysis , vol.14 , pp. 349-381
    • Ambrosetti, A.1    Rabinowitz, P.H.2
  • 30
    • 0000798567 scopus 로고
    • Local behavior of solutions of quasilinear equations
    • SERRIN J., Local behavior of solutions of quasilinear equations, Acta math. 111, 247-302 (1964).
    • (1964) Acta Math. , vol.111 , pp. 247-302
    • Serrin, J.1
  • 31
    • 0006027422 scopus 로고
    • Linear elliptic operators with measurable coefficients
    • TRUDINGER N. S., Linear elliptic operators with measurable coefficients, Annali. Scu. norm. sup. Pisa 27, 265-308 (1973).
    • (1973) Annali. Scu. Norm. Sup. Pisa , vol.27 , pp. 265-308
    • Trudinger, N.S.1
  • 32
    • 0003025632 scopus 로고
    • Un'osservazione sul teorema di Brouwer, Boll
    • MIRANDA C., Un'osservazione sul teorema di Brouwer, Boll. Un. Mat. Ital. Ser II, Anno III 19, 5-7 (1940).
    • (1940) Un. Mat. Ital. Ser II, Anno III , vol.19 , pp. 5-7
    • Miranda, C.1


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