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Volumn 135, Issue 7, 2007, Pages 2121-2126

Multiple solutions for elliptic problems with singular and sublinear potentials

Author keywords

Multiple solutions; Singular potential; Sublinearity at infinity

Indexed keywords


EID: 61349142073     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-07-08715-1     Document Type: Article
Times cited : (30)

References (13)
  • 1
    • 0037680720 scopus 로고    scopus 로고
    • Some remarks on a three critical points theorem
    • MR1983441 2004d:49010
    • G. Bonanno, Some remarks on a three critical points theorem, Nonlinear Analysis TMA, 54 (2003), 651-665. MR1983441 (2004d:49010)
    • (2003) Nonlinear Analysis TMA , vol.54 , pp. 651-665
    • Bonanno, G.1
  • 2
    • 7444265877 scopus 로고    scopus 로고
    • Exact local behavior of positive solutions for a semilinear elliptic equation with Hardy term
    • MR2073296 2006f:35079
    • J. Chen, Exact local behavior of positive solutions for a semilinear elliptic equation with Hardy term, Proc. Amer. Math. Soc., 132 (2004), no. 11, 3225-3229. MR2073296 (2006f:35079)
    • (2004) Proc. Amer. Math. Soc. , vol.132 , Issue.11 , pp. 3225-3229
    • Chen, J.1
  • 3
    • 3242698140 scopus 로고    scopus 로고
    • Multiple positive solutions for a class of nonlinear elliptic equations
    • MR2072017 2005c:35084
    • J. Chen, Multiple positive solutions for a class of nonlinear elliptic equations, J. Math. Anal. Appl., 295 (2004), no. 2, 341-354. MR2072017 (2005c:35084)
    • (2004) J. Math. Anal. Appl. , vol.295 , Issue.2 , pp. 341-354
    • Chen, J.1
  • 4
    • 77950674892 scopus 로고    scopus 로고
    • Bifurcation theorems for nonlinear problems with lack of compactness
    • MR2041400 2005a:35098
    • F. Faraci, R. Livrea, Bifurcation theorems for nonlinear problems with lack of compactness, Ann. Polon. Math., 82.1 (2003), 77-85. MR2041400 (2005a:35098)
    • (2003) Ann. Polon. Math. , vol.821 , pp. 77-85
    • Faraci, F.1    Livrea, R.2
  • 5
    • 0035842856 scopus 로고    scopus 로고
    • Existence of solutions for singular critical growth semilinear elliptic equations
    • MR1876652 2002m:35068
    • A. Ferrero, F. Gazzola, Existence of solutions for singular critical growth semilinear elliptic equations, J. Differential Equations, 177 (2001), 494-522. MR1876652 (2002m:35068)
    • (2001) J. Differential Equations , vol.177 , pp. 494-522
    • Ferrero, A.1    Gazzola, F.2
  • 6
    • 0040005737 scopus 로고    scopus 로고
    • Hardy inequalities and some critical elliptic and parabolic problems
    • MR1616905 99f:35099
    • J. P. Garcia Azorero, I. Peral Alonso, Hardy inequalities and some critical elliptic and parabolic problems, J. Differential Equations, 144 (1998), 441-476. MR1616905 (99f:35099)
    • (1998) J. Differential Equations , vol.144 , pp. 441-476
    • Azorero, J.P.G.1    Alonso, I.P.2
  • 7
    • 0037139633 scopus 로고    scopus 로고
    • Large and small solutions of a class of quasilinear elliptic eigenvalue problems
    • MR1890596 2002k:35246
    • Z. Guo, J. R. L. Webb, Large and small solutions of a class of quasilinear elliptic eigenvalue problems, J. Differential Equations, 180 (2002), 1-50. MR1890596 (2002k:35246)
    • (2002) J. Differential Equations , vol.180 , pp. 1-50
    • Guo, Z.1    Webb, J.R.L.2
  • 8
    • 0041743810 scopus 로고    scopus 로고
    • On a class of sublinear quasilinear elliptic problems
    • MR1974638 2003m:35090
    • D. D. Hai, On a class of sublinear quasilinear elliptic problems, Proc. Amer. Math. Soc., 131 (2003), 2409-2414. MR1974638 (2003m:35090)
    • (2003) Proc. Amer. Math. Soc. , vol.131 , pp. 2409-2414
    • Hai, D.D.1
  • 9
    • 0035508519 scopus 로고    scopus 로고
    • Lower semicontinuity of functionals via concentration-compactness principle
    • MR1865280 2002h:35053
    • E. Montefusco, Lower semicontinuity of functionals via concentration-compactness principle, J. Math. Anal. Appl., 263 (2001), 264-276. MR1865280 (2002h:35053)
    • (2001) J. Math. Anal. Appl. , vol.263 , pp. 264-276
    • Montefusco, E.1
  • 10
    • 0037139649 scopus 로고    scopus 로고
    • On the multiplicity of solutions of the equation-Δu = λ · f (u)
    • MR1890598 2003a:35141
    • J. Saint Raymond, On the multiplicity of solutions of the equation-Δu = λ · f (u), J. Differential Equations, 180 (2002), 65-88. MR1890598 (2003a:35141)
    • (2002) J. Differential Equations , vol.180 , pp. 65-88
    • Raymond, J.S.1
  • 11
    • 0034395861 scopus 로고    scopus 로고
    • On a three critical points theorem
    • MR1780585 2001h:49012
    • B. Ricceri, On a three critical points theorem, Arch. Math. (Basel) 75 (2000), 220-226. MR1780585 (2001h:49012)
    • (2000) Arch. Math. (Basel) , vol.75 , pp. 220-226
    • Ricceri, B.1
  • 12
    • 0033735641 scopus 로고    scopus 로고
    • Existence of three solutions for a class of elliptic eigenvalue problems
    • MR1800671 2001j:35220
    • B. Ricceri, Existence of three solutions for a class of elliptic eigenvalue problems, Math. Comput. Modelling, 32 (2000), 1485-1494. MR1800671 (2001j:35220)
    • (2000) Math. Comput. Modelling , vol.32 , pp. 1485-1494
    • Ricceri, B.1
  • 13
    • 0037845161 scopus 로고    scopus 로고
    • Elliptic problems with critical exponents and Hardy potential
    • MR1970040 2004c:35138
    • D. Ruiz, M. Willem, Elliptic problems with critical exponents and Hardy potential, J. Differential Equations, 190 (2003), 524-538. MR1970040 (2004c:35138)
    • (2003) J. Differential Equations , vol.190 , pp. 524-538
    • Ruiz, D.1    Willem, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.