메뉴 건너뛰기




Volumn 1997, Issue , 1997, Pages 1-10

Multiple positive solutions for equations involving critical Sobolev exponent in ℝN

Author keywords

Ekeland Variational Principle; Mountain Pass Theorem

Indexed keywords


EID: 0002527299     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (31)

References (20)
  • 2
    • 34548350707 scopus 로고
    • Dual variational methods in critical point theory and applications
    • A. Ambrosetti & P. 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.2
  • 3
    • 84941275804 scopus 로고
    • Between pointwise convergence of functions and convergence of functionals
    • H. Brezis & E. Lieb, A Relation Between Pointwise Convergence of Functions and Convergence of Functionals, Proc. Amer. Math. Soc. 88(1983), 486-490.
    • (1983) Proc. Amer. Math. Soc. , vol.88 , pp. 486-490
    • Brezis, H.1    Lieb, E.2    Relation, A.3
  • 4
    • 84990613834 scopus 로고
    • Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents
    • H. Brezis & L. Nirenberg, Positive Solutions of Nonlinear Elliptic Equations Involving Critical Sobolev Exponents, Comm. Pure App. Math 36(1983) 437-477.
    • (1983) Comm. Pure App. Math. , vol.36 , pp. 437-477
    • Brezis, H.1    Nirenberg, L.2
  • 5
    • 84974313533 scopus 로고
    • Multiple solutions for non-homogeneous elliptic equations with critical Sobolev exponent
    • Dao-Min Cao, Gong-Bao Li & Huari-Song Zhou, Multiple Solutions for Non-homogeneous Elliptic Equations with Critical Sobolev Exponent, Proceeding of the Royal Society of Edinburgh, 124A(1994), 1177-1191.
    • (1994) Proceeding of the Royal Society of Edinburgh , vol.124 A , pp. 1177-1191
    • Cao, D.-M.1    Li, G.-B.2    Zhou, H.-S.3
  • 6
    • 84972535494 scopus 로고
    • On multiple solutions for the non-homogeneous p-laplacian with a critical Sobolev exponent
    • J. Chabrowski, On Multiple Solutions for the Non-homogeneous p-Laplacian with a Critical Sobolev Exponent, Differential and Integral Equations, 8(1995) 705-716.
    • (1995) Differential and Integral Equations , vol.8 , pp. 705-716
    • Chabrowski, J.1
  • 7
    • 0002041112 scopus 로고
    • Existence and nonexistence results for m-laplacian equations involving critical Sobolev exponents
    • H. Egnell, Existence and Nonexistence Results for m-Laplacian Equations Involving Critical Sobolev Exponents, Arch. Rational Mech. Anal. 104(1988), 57-77.
    • (1988) Arch. Rational Mech. Anal. , vol.104 , pp. 57-77
    • Egnell, H.1
  • 8
    • 0016092731 scopus 로고
    • On the variational principle
    • I. Ekeland, On the Variational Principle, J. Math. Anal. App. 47(1974) 324-353.
    • (1974) J. Math. Anal. App. , vol.47 , pp. 324-353
    • Ekeland, I.1
  • 9
    • 84968483586 scopus 로고
    • Multiplicity of solutions for elliptic problems with critical exponent of with a nonsymmetric term
    • J. Garcia Azorero & I. Peral Alonzo, Multiplicity of Solutions for Elliptic Problems with Critical Exponent of with a Nonsymmetric Term, Trans. Am. Math. Soc, 323(2)(1991), 887-895.
    • (1991) Trans. Am. Math. Soc. , vol.323 , Issue.2 , pp. 887-895
    • Garcia Azorero, J.1    Peral Alonzo, I.2
  • 11
    • 0000351081 scopus 로고
    • Quasilinear Elliptic equations involving critical Sobolev exponents
    • M. Guedda & L. Veron, Quasilinear Elliptic Equations Involving Critical Sobolev Exponents, Non. Anal. Appl. 12(8)(1989), 879-902.
    • (1989) Non. Anal. Appl. , vol.12 , Issue.8 , pp. 879-902
    • Guedda, M.1    Veron, L.2
  • 12
    • 0000238101 scopus 로고
    • On the existence of nontrivial solutions of a quasilinear elliptic boundary value problem with unbounded domain
    • Y. Jianfu & Z. Xiping, On the Existence of Nontrivial Solutions of a Quasilinear Elliptic Boundary Value Problem with Unbounded Domain, Acta Math. Sci. 7(1987) 341-359.
    • (1987) Acta Math. Sci. , vol.7 , pp. 341-359
    • Jianfu, Y.1    Xiping, Z.2
  • 14
    • 0041080285 scopus 로고
    • The existence of weak solutions of a Quasilinear Elliptic equation with critical Sobolev exponent on unbounded domains
    • G. B. Li, The Existence of Weak Solutions of a Quasilinear Elliptic Equation with Critical Sobolev Exponent on Unbounded Domains, Acta. Math. Sci. 14(1994) 64-74.
    • (1994) Acta. Math. Sci. , vol.14 , pp. 64-74
    • Li, G.B.1
  • 15
    • 3042614415 scopus 로고
    • The concentration-compactness principle in the calculus of variations. The Limit Case, 1 & 2
    • P. L. Lions, The Concentration-Compactness Principle in the Calculus of Variations. The Limit Case, i & 2. Math. Ibero-Americana (1985) 40-46 & 145-201.
    • (1985) Math. Ibero-Americana , pp. 40-46
    • Lions, P.L.1
  • 17
    • 0001768121 scopus 로고
    • Quasilinear elliptic problems with critical exponents
    • E. S. Noussair, C. A. Swanson & Y. Jianfu, Quasilinear Elliptic Problems with Critical Exponents, Nonlinear Anal. 3(1993), No. 3, 285-301.
    • (1993) Nonlinear Anal. , vol.3 , Issue.3 , pp. 285-301
    • Noussair, E.S.1    Swanson, C.A.2    Jianfu, Y.3
  • 19
    • 34250392866 scopus 로고
    • Best constant in Sobolev inequality
    • G. Talenti, Best Constant in Sobolev Inequality, Ann. Math. 110(1976) 353-372.
    • (1976) Ann. Math. , vol.110 , pp. 353-372
    • Talenti, G.1
  • 20
    • 85013168104 scopus 로고
    • On nonhomogeneous elliptic equations involving critical Sobolev exponent
    • G. Tarantello, On Nonhomogeneous Elliptic Equations Involving Critical Sobolev Exponent, Ann. Inst. H. Poincaré Anal. Non Lineáire 9(1992), 243-261.
    • (1992) Ann. Inst. H. Poincaré Anal. Non Lineáire , vol.9 , pp. 243-261
    • Tarantello, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.