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Volumn 65, Issue 7, 2006, Pages 1334-1347

On existence and multiplicity of solutions of Neumann boundary value problems for quasi-linear elliptic equations

Author keywords

Critical point; Neumann problem; p Laplacian; Sobolev's embedding

Indexed keywords

LAPLACE TRANSFORMS; NONLINEAR EQUATIONS;

EID: 33745222307     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2005.10.010     Document Type: Article
Times cited : (35)

References (18)
  • 1
    • 0001563645 scopus 로고
    • Saddle points and multiple solutions of differential equations
    • Amann H. Saddle points and multiple solutions of differential equations. Math. Z. 169 (1979) 127-166
    • (1979) Math. Z. , vol.169 , pp. 127-166
    • Amann, H.1
  • 2
    • 2342456386 scopus 로고    scopus 로고
    • Existence of infinitely many weak solutions for a Neumann problem
    • Anello G. Existence of infinitely many weak solutions for a Neumann problem. Nonlinear Anal. 57 (2004) 199-209
    • (2004) Nonlinear Anal. , vol.57 , pp. 199-209
    • Anello, G.1
  • 3
    • 0036833055 scopus 로고    scopus 로고
    • On a p-Laplace Neumann problem with asymptotically asymmetric perturbations
    • Alif M., and Omari P. On a p-Laplace Neumann problem with asymptotically asymmetric perturbations. Nonlinear Anal. 51 (2002) 369-389
    • (2002) Nonlinear Anal. , vol.51 , pp. 369-389
    • Alif, M.1    Omari, P.2
  • 4
    • 0034300779 scopus 로고    scopus 로고
    • Existence of multiple solutions of critical quasilinear elliptic Neumann problems
    • Binding P.A., Drábek P., and Huang Y.X. Existence of multiple solutions of critical quasilinear elliptic Neumann problems. Nonlinear Anal. 42 (2000) 613-629
    • (2000) Nonlinear Anal. , vol.42 , pp. 613-629
    • Binding, P.A.1    Drábek, P.2    Huang, Y.X.3
  • 5
    • 84990586507 scopus 로고
    • Remarks on finding critical points
    • Brezis H. Remarks on finding critical points. Comm. Pure Appl. Math. 44 (1991) 939-963
    • (1991) Comm. Pure Appl. Math. , vol.44 , pp. 939-963
    • Brezis, H.1
  • 6
    • 0037562689 scopus 로고    scopus 로고
    • Three solutions to a Neumann problem for the elliptic equations involving the p-Laplacian
    • Bonanno G., and Candito P. Three solutions to a Neumann problem for the elliptic equations involving the p-Laplacian. Arch. Math. 80 (2003) 424-429
    • (2003) Arch. Math. , vol.80 , pp. 424-429
    • Bonanno, G.1    Candito, P.2
  • 7
    • 33745211694 scopus 로고    scopus 로고
    • D. Gilbarg, N.S. Trudinger, Elliptic Partial Differential Equations of Second Order, Springer-Verlag, Berlin, Heidelberg, New York
  • 8
    • 0000080914 scopus 로고
    • Perturbations of second order linear elliptic problems by unbounded nonlinearities
    • Gupta C.P. Perturbations of second order linear elliptic problems by unbounded nonlinearities. Nonlinear Anal. 6 9 (1982) 919-933
    • (1982) Nonlinear Anal. , vol.6 , Issue.9 , pp. 919-933
    • Gupta, C.P.1
  • 9
    • 21844520528 scopus 로고    scopus 로고
    • On the solvability of a nonlinear second-order elliptic equations at resonance
    • Kuo C.C. On the solvability of a nonlinear second-order elliptic equations at resonance. Proc. Amer. Math. Soc. 124 1 (1996) 83-87
    • (1996) Proc. Amer. Math. Soc. , vol.124 , Issue.1 , pp. 83-87
    • Kuo, C.C.1
  • 10
    • 0007048186 scopus 로고
    • Necessary and sufficient conditions for the solvability of nonlinear equations through the dual least action principle
    • Pu X. (Ed). Beijing, 1985, World Scientific, Singapore
    • Mawhin J. Necessary and sufficient conditions for the solvability of nonlinear equations through the dual least action principle. In: Pu X. (Ed). Workshop on Applied Differential Equations. Beijing, 1985 (1986), World Scientific, Singapore 91-108
    • (1986) Workshop on Applied Differential Equations , pp. 91-108
    • Mawhin, J.1
  • 11
    • 0001420776 scopus 로고
    • Semi-coercive monotone variational problems
    • Mawhin J. Semi-coercive monotone variational problems. Acad. Roy. Belg., Bull. Cl. Sci. 73 5 (1987) 118-130
    • (1987) Acad. Roy. Belg., Bull. Cl. Sci. , vol.73 , Issue.5 , pp. 118-130
    • Mawhin, J.1
  • 12
    • 0001901435 scopus 로고
    • Minimax Methods in Critical Point Theory with Applications to Differential Equations
    • Amer. Math. Soc., Providence, RI
    • Rabinowitz P.H. Minimax Methods in Critical Point Theory with Applications to Differential Equations. CBMS Reg. Conf. Ser. in Math., No. 65 (1986), Amer. Math. Soc., Providence, RI
    • (1986) CBMS Reg. Conf. Ser. in Math., No. 65
    • Rabinowitz, P.H.1
  • 13
    • 0034395861 scopus 로고    scopus 로고
    • On three critical points theorem
    • Ricceri B. On three critical points theorem. Arch. Math. 75 (2000) 220-226
    • (2000) Arch. Math. , vol.75 , pp. 220-226
    • Ricceri, B.1
  • 14
    • 0001374059 scopus 로고    scopus 로고
    • Infinitely many solutions of the Neumann problem for elliptic equations involving the p-Laplacian
    • Ricceri B. Infinitely many solutions of the Neumann problem for elliptic equations involving the p-Laplacian. Bull. London Math. Soc. 33 (2001) 331-340
    • (2001) Bull. London Math. Soc. , vol.33 , pp. 331-340
    • Ricceri, B.1
  • 15
    • 33745184265 scopus 로고    scopus 로고
    • n. in: P. Benilan (Ed.), LMN 665, Berlin, Heidelberg, New York, 1978
  • 16
    • 0035314090 scopus 로고    scopus 로고
    • Solvability of Neumann problem for elliptic equations at resonance
    • Tang C.L. Solvability of Neumann problem for elliptic equations at resonance. Nonlinear Anal. 44 (2001) 323-335
    • (2001) Nonlinear Anal. , vol.44 , pp. 323-335
    • Tang, C.L.1
  • 17
    • 0036497503 scopus 로고    scopus 로고
    • Some existence theorems for the sublinear Neumann boundary value problem
    • Tang C.L. Some existence theorems for the sublinear Neumann boundary value problem. Nonlinear Anal. 48 (2002) 1003-1011
    • (2002) Nonlinear Anal. , vol.48 , pp. 1003-1011
    • Tang, C.L.1
  • 18
    • 0038356819 scopus 로고    scopus 로고
    • Multiple solutions of Neumann problem for elliptic equations
    • Tang C.L. Multiple solutions of Neumann problem for elliptic equations. Nonlinear Anal. 54 (2003) 637-650
    • (2003) Nonlinear Anal. , vol.54 , pp. 637-650
    • Tang, C.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.