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Volumn 1, Issue 2, 1996, Pages 219-240

Existence and multiplicity of nontrivial solutions in semilinear critical problems of fourth order

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EID: 0000138304     PISSN: 10799389     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (126)

References (22)
  • 1
    • 0000049245 scopus 로고
    • Combined effects of concave and convex nonlinearities in some elliptic problems
    • A. Ambrosetti, H. Brezis and G. Cerami, Combined effects of concave and convex nonlinearities in some elliptic problems, J. Funct. Anal., 122 (1994), 519-543.
    • (1994) J. Funct. Anal , vol.122 , pp. 519-543
    • Ambrosetti, A.1    Brezis, H.2    Cerami, G.3
  • 2
    • 84980075953 scopus 로고
    • Estimates near the boundary for solution of elliptic partial differential equations satisfying general boundary conditions I
    • S. Agmon, A. Douglis and L. Nirenberg, Estimates near the boundary for solution of elliptic partial differential equations satisfying general boundary conditions I, Comm. Pure Appl. Math., 12 (1959), 623-727.
    • (1959) Comm. Pure Appl. Math , vol.12 , pp. 623-727
    • Agmon, S.1    Douglis, A.2    Nirenberg, L.3
  • 4
    • 34548350707 scopus 로고
    • Dual variational methods in critical point theory and applications
    • A. Ambrosetti and P.H. Rabinowitz, Dual variational methods in critical point theory and applications, J. Funct. Anal., 14 (1973), 349-381.
    • (1973) J. Funct. Anal , vol.14 , pp. 349-381
    • Ambrosetti, A.1    Rabinowitz, P.H.2
  • 6
    • 84990613834 scopus 로고
    • Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents
    • H. Brezis and L. Nirenberg, Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents, Comm. Pure Appl. Math., 36 (1983), 437-477.
    • (1983) Comm. Pure Appl. Math , vol.36 , pp. 437-477
    • Brezis, H.1    Nirenberg, L.2
  • 8
    • 38249038408 scopus 로고
    • On the existence of multiple ordered solutions of nonlinear eigenvalue problems
    • D.G. De Figueiredo, On the existence of multiple ordered solutions of nonlinear eigenvalue problems, J. Nonlinear Anal., 11 (1987), 481-492.
    • (1987) J. Nonlinear Anal , vol.11 , pp. 481-492
    • De Figueiredo, D.G.1
  • 10
    • 84968483586 scopus 로고
    • Multiplicity of solutions for elliptic problems with critical exponent or with a non-symmetric term
    • J. Garcia Azorero and I. Peral Alonso, Multiplicity of solutions for elliptic problems with critical exponent or with a non-symmetric term, Trans. Amer. Math. Soc., 323 (1991), 877-895.
    • (1991) Trans. Amer. Math. Soc , vol.323 , pp. 877-895
    • Garcia Azorero, J.1    Peral Alonso, I.2
  • 11
    • 0001421699 scopus 로고
    • Some results about the existence of a second positive solution in a quasilinear critical problem
    • J. Garcia Azorero and I. Peral Alonso, Some results about the existence of a second positive solution in a quasilinear critical problem, Indiana Univ. Math. J., 43 (1994), 941-957.
    • (1994) Indiana Univ. Math. J , vol.43 , pp. 941-957
    • Garcia Azorero, J.1    Peral Alonso, I.2
  • 12
    • 0002932245 scopus 로고
    • Differential systems with strongly indefinite variational structure
    • J. Hulshof and R.C.A.M. van der Vorst, Differential systems with strongly indefinite variational structure, J. Funct. Anal., 114 (1993), 32-58.
    • (1993) J. Funct. Anal , vol.114 , pp. 32-58
    • Hulshof, J.1    van der Vorst, R.C.A.M.2
  • 13
    • 0001294182 scopus 로고
    • The concentration-compactness principle in the calculus of variations. The limit case
    • Iberoamericana 1 n 1
    • P.L. Lions, The concentration-compactness principle in the calculus of variations. The limit case, part 1, Rev. Mat., Iberoamericana 1 n 1 (1985), 145-201.
    • (1985) part 1, Rev. Mat , pp. 145-201
    • Lions, P.L.1
  • 14
    • 0001294182 scopus 로고
    • The concentration-compactness principle in the calculus of variations. The limit case
    • Iberoamericana
    • P.L. Lions, The concentration-compactness principle in the calculus of variations. The limit case, part 2, Rev. Mat., Iberoamericana 1 n 2 (1985), 45-121.
    • (1985) part 2, Rev. Mat , vol.1 , Issue.2 , pp. 45-121
    • Lions, P.L.1
  • 15
    • 0037961154 scopus 로고
    • Existence and regularity of weak solution to the Dirichlet problem for semilinear elliptic systems of higher order
    • S. Luckhaus, Existence and regularity of weak solution to the Dirichlet problem for semilinear elliptic systems of higher order, J. Reine Angew. Math., 306 (1979), 192-207.
    • (1979) J. Reine Angew. Math , vol.306 , pp. 192-207
    • Luckhaus, S.1
  • 17
    • 84972495838 scopus 로고
    • Existence and nonexistence of positive solutions of nonlinear elliptic systems and the biharmonic equation
    • L. Peletier and R.C.A.M. van der Vorst, Existence and nonexistence of positive solutions of nonlinear elliptic systems and the biharmonic equation, Differential Integral Equations., 5 (1992), 747-767.
    • (1992) Differential Integral Equations , vol.5 , pp. 747-767
    • Peletier, L.1    van der Vorst, R.C.A.M.2
  • 18
    • 0002490825 scopus 로고
    • Critical exponents and critical dimensions for polyharmonic operators
    • P. Pucci and J. Serrin, Critical exponents and critical dimensions for polyharmonic operators, J. Math. Pures Appl., 69 (1990), 55-83.
    • (1990) J. Math. Pures Appl , vol.69 , pp. 55-83
    • Pucci, P.1    Serrin, J.2
  • 19
    • 0005785637 scopus 로고
    • The structure of the critical set in the mountain pass theorem
    • P. Pucci and J. Serrin, The structure of the critical set in the mountain pass theorem, Trans. Amer. Math. Soc., 299 (1987), 115-132.
    • (1987) Trans. Amer. Math. Soc , vol.299 , pp. 115-132
    • Pucci, P.1    Serrin, J.2
  • 20
    • 0001901435 scopus 로고
    • Minimax methods in critical points theory with applications to differential equations
    • A.M.S., R.I.
    • P.H. Rabinowitz, Minimax methods in critical points theory with applications to differential equations, CBMS Regional Conf. Ser. in Math., no 65 A.M.S., R.I., 1986.
    • (1986) CBMS Regional Conf. Ser. in Math , vol.65
    • Rabinowitz, P.H.1
  • 21
    • 34250392866 scopus 로고
    • Best constant in Sobolev inequality
    • G. Talenti, Best constant in Sobolev inequality, Ann. Mat. Pura Appl., 110; 1976: 353-372
    • (1976) Ann. Mat. Pura Appl , vol.110 , pp. 353-372
    • Talenti, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.