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Volumn 56, Issue 5, 2004, Pages 781-791

On nonlinear perturbations of a periodic elliptic problem in ℝ 2 involving critical growth

Author keywords

Concentration compactness principle; Critical Sobolev exponents; Mountain pass theorem; Palais Smale condition; Trudinger Mose inequality; Variational methods

Indexed keywords

ASYMPTOTIC STABILITY; PERTURBATION TECHNIQUES; PROBLEM SOLVING; THEOREM PROVING; VARIATIONAL TECHNIQUES; WAVE EQUATIONS;

EID: 0347899448     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2003.06.003     Document Type: Article
Times cited : (66)

References (15)
  • 1
    • 0000123402 scopus 로고
    • Existence of positive solutions of the semilinear Dirichlet problem with critical growth for the N -Laplacian
    • Adimurth, Existence of positive solutions of the semilinear Dirichlet problem with critical growth for the N -Laplacian, Ann. Scuola Norm. Sup. Pisa 17 (1990) 393-413.
    • (1990) Ann. Scuola Norm. Sup. Pisa , vol.17 , pp. 393-413
    • Adimurth1
  • 3
    • 0012759585 scopus 로고    scopus 로고
    • Nonlinear perturbations of a periodic elliptic problem with critical growth
    • Alves C.O., Carrião P.C., Miyagaki O.H. Nonlinear perturbations of a periodic elliptic problem with critical growth. J. Math. Anal. Appl. 260:2001;133-146.
    • (2001) J. Math. Anal. Appl. , vol.260 , pp. 133-146
    • Alves, C.O.1    Carrião, P.C.2    Miyagaki, O.H.3
  • 6
    • 0036215548 scopus 로고    scopus 로고
    • On an Inequality by N. Trudinger and J. Moser and related elliptic equations
    • de Figueiredo D.G., do Ó J.M., Ruf B. On an Inequality by N. Trudinger and J. Moser and related elliptic equations. Comm. Pure. Appl. Math. 55:2002;135-152.
    • (2002) Comm. Pure. Appl. Math. , vol.55 , pp. 135-152
    • De Figueiredo, D.G.1    Do Ó, J.M.2    Ruf, B.3
  • 8
    • 0007151779 scopus 로고    scopus 로고
    • N with nonlinearities in the critical growth range
    • N with nonlinearities in the critical growth range Diff. Int. Eqns. 9:1996;967-979.
    • (1996) Diff. Int. Eqns. , vol.9 , pp. 967-979
    • Do Ó, J.M.1
  • 9
    • 0007281268 scopus 로고    scopus 로고
    • N with critical growth
    • N with critical growth Abstr. Appl. Anal. 2:1997;301-315.
    • (1997) Abstr. Appl. Anal. , vol.2 , pp. 301-315
    • Do Ó, J.M.1
  • 14
    • 0001768121 scopus 로고
    • Quasilinear elliptic problem with critical exponents
    • Noussair E.S., Swanson C.A., Yang J. Quasilinear elliptic problem with critical exponents. Nonlinear Anal. TMA. 20:1993;285-301.
    • (1993) Nonlinear Anal. TMA , vol.20 , pp. 285-301
    • Noussair, E.S.1    Swanson, C.A.2    Yang, J.3
  • 15
    • 0002711879 scopus 로고
    • The quasilinear elliptic equation on unbounded domain involving critical Sobolev exponent
    • Zhu X.P., Yang J. The quasilinear elliptic equation on unbounded domain involving critical Sobolev exponent. J. Partial Differential Equations. 2:1989;53-64.
    • (1989) J. Partial Differential Equations , vol.2 , pp. 53-64
    • Zhu, X.P.1    Yang, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.