The uniqueness for a superlinear eigenvalue problem

Applied Mathematics Letters

Volumn 12, Issue 4, 1999, Pages 47-50

  Drabek P ^a  

^a UNIVERSITY OF WEST BOHEMIA   (Czech Republic)

Author keywords

Nonhomogeneous eigenvalue problem; The best Sobolev constant; The p Laplacian; Uniqueness of the positive eigenfunction

Indexed keywords

EID: 0041784401     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(99)00032-4     Document Type: Article

References (9)

1. M. Ôtani, Existence and nonexistence of nontrivial solutions of some nonlinear degenerate elliptic equations, J. Funct. Anal. 76, 140-159, (1988).
2. Y.X. Huang, A note on the asymptotic behavior of positive solutions for some elliptic equation, Nonlinear Analysis, Theory, Methods & Appl. 29, 533-537, (1997).
3. A. Anane, Simplicitét isolation de la première valeur propre du p-Laplacien avec poids, C. R. Acad. Sci. Paris Sér. I Math. 305, 725-728, (1987).
4. J. Garcia and I. Peral, On limits of solutions of elliptic problems with nearly critical exponent, Communications in PDE 17 (11/12), 2113-2126, (1992).
5. R. Adimurthi and S.L. Yadava, An elementary proof of the uniqueness of positive radial solutions of a quasilinear Dirichlet problem, Arch. Rational Mech. Anal. 127, 219-229, (1994).
6. P. Drábek, A. Kufner and F. Nicolosi, Quasilinear elliptic equations with degenerations and singularities, In De Gruyter Series in Nonlinear Analysis and Applications, (Edited by W. de Gruyter), Vol. 5, Berlin, New York, (1997).
7. P. Tolksdorf, Regularity for a more general class of quasilinear elliptic equations, J. Differential Equations 51, 126-150, (1984).
8. N.S. Trudinger, On Harnack type inequalities and their application to quasilinear elliptic equations, Comm. Pure Appl. Math. 20, 721-747, (1967).
9. T. Idogawa and M. Ôtani, The first eigenvalues of some abstract elliptic operators, Funkc. Ekvacioj 38, 1-9, (1995).