Nonlinear Eigenvalue problems for quasilinear equations in unbounded domains

Mathematische Nachrichten

Volumn 203, Issue , 1999, Pages 5-30

  Drábek, Pavel ^a   Simader, Christian G ^b  

^a UNIVERSITY OF WEST BOHEMIA   (Czech Republic)

^b UNIVERSITY OF BAYREUTH   (Germany)

Author keywords

Harnack inequality; Quasilinear eigenvalue problem; Sobolev inequality; Variational problem

Indexed keywords

EID: 0040712491     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/mana.1999.3212030102     Document Type: Article

References (16)

1. ADAMS, R. A.: Sobolev Spaces, Academic Press, New York, San Francisco, London, 1975
2. N, Math. Nachrichten 173 (1995), 131-139
3. DUNFORD, N., and SCHWARTZ, J. T.: Linear Operators, Part I, Interscience Publ., New York, 1958
4. GALDI, G. P., and MAREMONTI, P.: Monotonic Decreasing and Asymptotic Behavior of the Kinetic Energy for Weak Solutions of the Navier-Stokes Equations in Exterior Domains, Arch. Rational Mech. Anal. 94 (1986), 253-266
5. GILBARG, D., and TRUDINGER, N. S.: Elliptic Partial Differential Equations of Second Order, Springer-Verlag, Berlin, Heidelberg, New York, 1977
6. HEWITT, E., and STROMBERG, K.: Real and Abstract Analysis, Graduate Texts in Math. 25, Springer-Verlag, Berlin, Heidelberg, 1975 (Third printing)
7. YU, L. S.: Nonlinear p-Laplacian Problems on Unbounded Domains, Proc. Amer. Math. Society 115 (4) (1992), 1037-1045
8. N, Comm. Partial Differential Equations 14 (1989), 1291-1314
9. MORREY, C. B.: Multiple Integrals in the Calculus of Variations, Springer-Verlag, New York, 1966
10. N)-Theory of Subcritical Semilinear Elliptic Problems, J. Differential Equations 84 (1990), 52-61
11. OPIC, B., and KUFNER, A.: Hardy Type Inequalities, Pitman Research Notes in Math. Series 219, Longman Scientific & Technical, Harlow, 1990
12. ROTHER, W.: Generalized Emden-Fowler Equations of Subcritical Growth, Journal of the Australian Math. Society (Ser. A) 54 (1993), 254-262
13. SIMADER, G. G., and SOHR, H.: The Dirichlet Problem for the Laplacian in Bounded and Unbounded Domains. A New Approach to Weak, Strong and (2 + k)-Solutions in Sobolev-Type Spaces, Pitman Research Notes in Math. Series 360, Addison Wesley Longman Ltd., Harlow, 1996
14. TOLKSDORF, P.: Regularity for a More General Class of Quasilinear Elliptic Equations, J. Diff. Equations 51 (1984), 126-150
15. TRUDINGER, N. S.: On Harnack Type Inequalities and Their Application to Quasilinear Elliptic Equations, Comm. Pure Appl. Math. 20 (1967), 721-747
16. YOSIDA, K.: Functional Analysis, fourth edition, Berlin, Heidelberg, New York, 1974