On Neumann boundary value problems for some quasilinear elliptic equations

Electronic Journal of Differential Equations

Volumn 1997, Issue , 1997, Pages 1-11

  Binding, Paul A ^a   Drábek, Pavel ^b   Huang, Yin Xi ^c  

^a UNIVERSITY OF CALGARY   (Canada)

^b UNIVERSITY OF WEST BOHEMIA   (Czech Republic)

^c University of Memphis   (United States)

Author keywords

Neumann boundary value problems; p Laplacian; Positive solutions

Indexed keywords

EID: 3042573774     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. [AV] D. Arcoya and S. Villegas, Nontrivial solutions for a Neumann problem with a nonlinear term asymptotically linear at -∞ and superlinear at +∞, Math. Z. 219 (1995), 499-513.
2. [BPT] C. Bandle, M.A. Pozio and A. Tesei, Existence and uniqueness of solutions of nonlinear Neumann problems, Math. Z. 199 (1988), 257-278.
3. [BCN] H. Berestycki, I. Capuzzo-Dolcetta and L. Nirenberg, Problémes elliptiques indéfinis et théorémes de Liouville non linéaires, C.R. Acad. Sci. Paris 317 I (1993), 945-950.
4. [BH1] P.A. Binding and Y.X. Huang, Two parameter problems for the p-Laplacian, Proc. First Int. Cong. Nonl. Analysts, eds. V. Lakshmikantham, Walter de Gruyter, New York (1996.), 891-900.
5. [BH2] P.A. Binding and Y.X. Huang, The principal eigencurve for the p-Laplacian, Diff. Int. Eqns. 8 (1995), 405-414.
6. N, preprint.
7. [GT] D. Gilbarg and N.S. Trudinger, Elliptic Partial Differential Equations of Second Order, second edition, Springer-Verlag, New York, 1983.
8. [GO1] J.P. Gossez and P. Omari, A necessary and sufficient condition of nonresonance for a semilinear Neumann problem, Proc. Amer. Math. Soc. 114 (1992), 433-442.
9. [GO2] J.P. Gossez and P. Omari, On a semilinear elliptic Neumann problem with asymmetric nonlinearities, Trans. Amer. Math. Soc. 347 (1995), 2553-2562.
10. [G] C.P. Gupta, Perturbations of second order linear elliptic problems by unbounded nonlinearities, Nonl. Anal. 6 (1982), 919-933.
11. [H] Y.X. Huang, On eigenvalue problems for the p-Laplacian with Neumann boundary conditions, Proc. Amer. Math. Soc. 109 (1990), 177-184.
12. [HM] Y.X. Huang and G. Metzen, The existence of solutions to a calss of semilinear differential equations, Diff. Int. Eqns. 8 (1995), 429-452.
13. [LZ] W. Li and H. Zhen, The applications of sums of ranges of accretive operators to nonlinear equations involving the p-Laplacian operator, Nonl. Anal. 24 (1995), 185-193.
14. [OT] M. Otani and T. Teshima, On the first eigenvalue of some quasilinear elliptic equations, Proc. Japan Acad. 64 Ser. A (1988), 8-10.
15. [TA] G. Tarantallo, Multiplicity results for an inhomogeneous Neumann Problem with critical exponent, Manu. Math. 81 (1993), 57-78.
16. [TR] N.S. Trudinger, On Harnack type inequalities and their application to quasilinear elliptic equations, Comm. Pure Appl. Math. 20 (1967), 721-747.