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Volumn 300, Issue 1, 2004, Pages 30-42

Existence results to elliptic systems with nonstandard growth conditions

Author keywords

Generalized Lebesgue Sobolev spaces; Mountain pass geometry; Nonlinear elliptic systems; Nonstandard growth conditions

Indexed keywords


EID: 7544244922     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2004.05.041     Document Type: Article
Times cited : (130)

References (19)
  • 1
    • 0001594538 scopus 로고
    • Infinitely many solutions of a symmetric Dirichlet problem
    • T. Bartsch Infinitely many solutions of a symmetric Dirichlet problem Nonlinear Anal. 20 1993 1205-1216
    • (1993) Nonlinear Anal. , vol.20 , pp. 1205-1216
    • Bartsch, T.1
  • 2
    • 0000877966 scopus 로고    scopus 로고
    • Semilinear elliptic systems: A survey of superlinear problems
    • D.G. De Figueiredo Semilinear elliptic systems: A survey of superlinear problems Resenhas 2 1996 373-391
    • (1996) Resenhas , vol.2 , pp. 373-391
    • De Figueiredo, D.G.1
  • 3
    • 0001385278 scopus 로고    scopus 로고
    • Sobolev embeddings with variable exponent
    • D.E. Edmunds J. Rákosník Sobolev embeddings with variable exponent Studia Math. 143 2000 267-293
    • (2000) Studia Math. , vol.143 , pp. 267-293
    • Edmunds, D.E.1    Rákosník, J.2
  • 4
    • 0030244424 scopus 로고    scopus 로고
    • Regularity of nonstandard Lagrangians f(x,ξ)
    • X.L. Fan Regularity of nonstandard Lagrangians f ( x , ξ ) Nonlinear Anal. 27 1996 669-678
    • (1996) Nonlinear Anal. , vol.27 , pp. 669-678
    • Fan, X.L.1
  • 5
    • 0033132638 scopus 로고    scopus 로고
    • A class of De Giorgi type and Hölder continuity
    • X.L. Fan D. Zhao A class of De Giorgi type and Hölder continuity Nonlinear Anal. 6 1999 295-318
    • (1999) Nonlinear Anal. , vol.6 , pp. 295-318
    • Fan, X.L.1    Zhao, D.2
  • 6
    • 0034148922 scopus 로고    scopus 로고
    • The quasi-minimizer of integral functionals with m(x) growth conditions
    • X.L. Fan D. Zhao The quasi-minimizer of integral functionals with m ( x ) growth conditions Nonlinear Anal. 39 2000 807-816
    • (2000) Nonlinear Anal. , vol.39 , pp. 807-816
    • Fan, X.L.1    Zhao, D.2
  • 10
    • 0037334369 scopus 로고    scopus 로고
    • Existence of solutions for p(x)-Laplacian Dirichlet problem
    • X.L. Fan Q.H. Zhang Existence of solutions for p ( x ) -Laplacian Dirichlet problem Nonlinear Anal. 52 2003 1843-1852
    • (2003) Nonlinear Anal. , vol.52 , pp. 1843-1852
    • Fan, X.L.1    Zhang, Q.H.2
  • 11
    • 0001196870 scopus 로고
    • Regularity of minimizers of integrals of the calculus of variations with nonstandard growth conditions
    • P. Marcellini Regularity of minimizers of integrals of the calculus of variations with nonstandard growth conditions Arch. Rational Mech. Anal. 105 1989 267-284
    • (1989) Arch. Rational Mech. Anal. , vol.105 , pp. 267-284
    • Marcellini, P.1
  • 12
    • 0001812746 scopus 로고
    • Regularity and existence of solutions of elliptic equations with p,q-growth conditions
    • P. Marcellini Regularity and existence of solutions of elliptic equations with p , q -growth conditions J. Differential Equations 90 1991 1-30
    • (1991) J. Differential Equations , vol.90 , pp. 1-30
    • Marcellini, P.1
  • 14
    • 0003311060 scopus 로고
    • Orlicz Spaces and Modular Spaces
    • Springer-Verlag, Berlin
    • J. Musielak Orlicz Spaces and Modular Spaces Lecture Notes in Mathematics vol. 1034 1983 Springer-Verlag Berlin
    • (1983) Lecture Notes in Mathematics , vol.1034
    • Musielak, J.1
  • 15
    • 0003196293 scopus 로고    scopus 로고
    • Electrorheological Fluids: Modeling and Mathematical Theory
    • Springer-Verlag, Berlin
    • M. Ruzicka Electrorheological Fluids: Modeling and Mathematical Theory Lecture Notes in Mathematics vol. 1748 2000 Springer-Verlag Berlin
    • (2000) Lecture Notes in Mathematics , vol.1748
    • Ruzicka, M.1
  • 16
    • 17944392636 scopus 로고    scopus 로고
    • Flow of shear dependent electrorheological fluids
    • M. Ruzicka Flow of shear dependent electrorheological fluids C. R. Acad. Sci. Paris Sér. I Math. 329 1999 393-398
    • (1999) C. R. Acad. Sci. Paris Sér. I Math. , vol.329 , pp. 393-398
    • Ruzicka, M.1
  • 19
    • 79953907620 scopus 로고
    • Averaging of functionals of the calculus of variations and elasticity theory
    • V.V. Zhikov Averaging of functionals of the calculus of variations and elasticity theory Math. USSR Izv. 29 1987 33-66
    • (1987) Math. USSR Izv. , vol.29 , pp. 33-66
    • Zhikov, V.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.