메뉴 건너뛰기




Volumn 275, Issue 2, 2002, Pages 733-746

On multiple solutions of a singular quasilinear equation on unbounded domain

Author keywords

Critical point theory; Multiple solutions; p Laplacian; Quasilinear equation

Indexed keywords


EID: 0037113586     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(02)00398-0     Document Type: Article
Times cited : (26)

References (16)
  • 1
    • 0000927436 scopus 로고
    • First order interpolation inequality with weights
    • L. Caffarelli, R. Kohn, L. Nirenberg, First order interpolation inequality with weights, Compositio Math. 53 (1984) 259-275.
    • (1984) Compositio Math. , vol.53 , pp. 259-275
    • Caffarelli, L.1    Kohn, R.2    Nirenberg, L.3
  • 2
    • 23044523081 scopus 로고    scopus 로고
    • Multiple solutions for quasilinear PDEs involving the critical Sobolev and Hardy exponents
    • N. Ghoussoub, C. Yuan, Multiple solutions for quasilinear PDEs involving the critical Sobolev and Hardy exponents, Trans. Amer. Math. Soc. 352 (2000) 5703-5743.
    • (2000) Trans. Amer. Math. Soc. , vol.352 , pp. 5703-5743
    • Ghoussoub, N.1    Yuan, C.2
  • 3
    • 84990613834 scopus 로고
    • Positive solutions of nonlinear elliptic equations involving critical exponents
    • H. Brezis, L. Nirenberg, Positive solutions of nonlinear elliptic equations involving critical exponents, Comm. Pure Appl. Math. 34 (1983) 437-477.
    • (1983) Comm. Pure Appl. Math. , vol.34 , pp. 437-477
    • Brezis, H.1    Nirenberg, L.2
  • 4
    • 84966205441 scopus 로고
    • On a elliptic equation with concave and convex nonlinearities
    • T. Bartch, M. Willem, On a elliptic equation with concave and convex nonlinearities, Proc. Amer. Math. Soc. 123 (1995) 3555-3561.
    • (1995) Proc. Amer. Math. Soc. , vol.123 , pp. 3555-3561
    • Bartch, T.1    Willem, M.2
  • 5
    • 0012573496 scopus 로고
    • Multiplicity of solutions for elliptic problems with critical exponent or with a nonsymmetric term
    • J. Garcia, I. Peral, Multiplicity of solutions for elliptic problems with critical exponent or with a nonsymmetric term, Trans. Amer. Math. Soc. 323 (1991) 941-957.
    • (1991) Trans. Amer. Math. Soc. , vol.323 , pp. 941-957
    • Garcia, J.1    Peral, I.2
  • 6
    • 33750061138 scopus 로고    scopus 로고
    • Multiplicity of solutions for the p-Laplacian
    • A. Ambrosetti, K.C. Chang, I. Eklend (Eds.), Lecture Notes at the Second School on Nonlinear Functional Analysis and Applications to Differential Equations at ICTP, Trieste
    • I. Peral, Multiplicity of solutions for the p-Laplacian, in: A. Ambrosetti, K.C. Chang, I. Eklend (Eds.), Lecture Notes at the Second School on Nonlinear Functional Analysis and Applications to Differential Equations at ICTP, Trieste, 1997, pp. 153-202.
    • (1997) , pp. 153-202
    • Peral, I.1
  • 7
    • 0031103525 scopus 로고    scopus 로고
    • On multiple solutions of semilinear elliptic equation on unbounded domains with concave and convex nonlinearities
    • S.B. Tshinanga, On multiple solutions of semilinear elliptic equation on unbounded domains with concave and convex nonlinearities, Nonlinear Anal. 28 (1997) 809-814.
    • (1997) Nonlinear Anal. , vol.28 , pp. 809-814
    • Tshinanga, S.B.1
  • 8
    • 0012575008 scopus 로고    scopus 로고
    • On multiple solutions of quasilinear equations involving the critical Sobolev exponent
    • Y.S. Huang, On multiple solutions of quasilinear equations involving the critical Sobolev exponent, J. Math. Anal. Appl. 231 (1999) 142-160.
    • (1999) J. Math. Anal. Appl. , vol.231 , pp. 142-160
    • Huang, Y.S.1
  • 9
    • 0040005737 scopus 로고    scopus 로고
    • Hardy inequality and critical elliptic and parabolic problems
    • J Garcia, I. Peral, Hardy inequality and critical elliptic and parabolic problems, J. Differential Equations 144 (1998) 441-476.
    • (1998) J. Differential Equations , vol.144 , pp. 441-476
    • Garcia, J.1    Peral, I.2
  • 10
    • 0035578399 scopus 로고    scopus 로고
    • On the Caffarelli-Kohn-Nirenberg inequalities: Sharp constants, existence (and nonexistence) and symmetry of extremal functions
    • F. Catrina, Z.Q. Wang, On the Caffarelli-Kohn-Nirenberg inequalities: sharp constants, existence (and nonexistence) and symmetry of extremal functions, Comm. Pure Appl. Math. 56 (2001) 229-258.
    • (2001) Comm. Pure Appl. Math. , vol.56 , pp. 229-258
    • Catrina, F.1    Wang, Z.Q.2
  • 11
    • 0000788385 scopus 로고    scopus 로고
    • A concentration-compactness lemma with applications to singular eigenvalue problems
    • D. Smets, A concentration-compactness lemma with applications to singular eigenvalue problems, J. Funct. Anal. 167 (1999) 463-480.
    • (1999) J. Funct. Anal. , vol.167 , pp. 463-480
    • Smets, D.1
  • 12
    • 0001294182 scopus 로고
    • The concentration-compactness principle in the calculus of variations, The limit case
    • P.L. Lions, The concentration-compactness principle in the calculus of variations, The limit case, Part 2, Rev. Mat. Iberoamericana 1 (1985) 45-121.
    • (1985) Rev. Mat. Iberoamericana , vol.1 , Issue.PART 2 , pp. 45-121
    • Lions, P.L.1
  • 13
    • 0003167376 scopus 로고
    • N
    • H. Berestycki, et al. (Eds.), Birkhäuser, Boston
    • N, in: H. Berestycki, et al. (Eds.), Variational Methods, Birkhäuser, Boston, 1990, pp. 133-159.
    • (1990) Variational Methods , pp. 133-159
    • Li, Y.Y.1
  • 14
    • 84941275804 scopus 로고
    • A relation between pointwise convergence of functions and convergence of functionals
    • H. Brezis, E.H. 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.H.2
  • 15
    • 0003924033 scopus 로고
    • Minimax methods in critical points theory with applications to differential equation
    • CBMS, No. 65, Providence, RI
    • P. Rabinowitz, Minimax methods in critical points theory with applications to differential equation, CBMS, No. 65, Providence, RI, 1986.
    • (1986)
    • Rabinowitz, P.1
  • 16
    • 0000155087 scopus 로고    scopus 로고
    • On positive entire solutions to a class of equations with singular coefficient and critical exponent
    • S. Terracini, On positive entire solutions to a class of equations with singular coefficient and critical exponent, Adv. Differential Equations 1 (1996) 241-264.
    • (1996) Adv. Differential Equations , vol.1 , pp. 241-264
    • Terracini, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.