Overdetermined Hardy inequalities

Journal of Mathematical Analysis and Applications

Volumn 213, Issue 2, 1997, Pages 468-486

  Kufner, Alois ^a   Sinnamon, Gordon ^b  

^a MATHEMATICAL INSTITUTE   (Czech Republic)

^b UNIVERSITY OF WESTERN ONTARIO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; PROBLEM SOLVING;

HARDY INEQUALITY;

BOUNDARY VALUE PROBLEMS;

EID: 0031221644     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5551     Document Type: Article

References (12)

1. 1. R. H. Cole, "Theory of Ordinary Differential Equations," Appleton-Century-Crofts, New York, 1968.
2. 2. P. Drábek and A. Kufner, The Hardy inequality and Birkoff interpolation, Bayreuth. Math. Schr. 47 (1994), 99-104.
3. 3. A. Kufner, Higher order Hardy inequalities, Bayreuth. Math. Schr. 44 (1993), 105-146.
4. 4. A. Kufner, A property of Green's function, Real Anal. Exchange 21 (1995-1996), 380-381.
5. 5. A. Kufner and H. P. Heinig, Hardy's inequality for higher order derivations, Trudy Mat. Inst. Steklov. 192 (1990), 105-113 [In Russian]; English translation, Proc. Steklov Inst. Math. 192 (1992), 113-121.
6. 5. A. Kufner and H. P. Heinig, Hardy's inequality for higher order derivations, Trudy Mat. Inst. Steklov. 192 (1990), 105-113 [In Russian]; English translation, Proc. Steklov Inst. Math. 192 (1992), 113-121.
7. 6. A. Kufner and C. G. Simader, Hardy inequalities for overdetermined classes of functions, Z. Anal. Anwendungen 16 (1997), 1-18.
8. 7. A. Kufner and A. Wannebo, Some remarks on the Hardy inequality for higher order derivatives, in "General Inequalities, VI," pp. 33-48, Internat. Series of Numer. Math., Vol. 103 Birkhäuser Verlag, Basel, 1992.
9. 8. B. Opic and A. Kufner, "Hardy-Type Inequalities," Longman, Harlow/Essex, England, 1990.
10. 9. G. Sinnamon, Kufner's conjecture for higher order Hardy inequalities, Real Anal. Exchange 21 (1995-1996), 590-601.
11. 10. G. Sinnamon and V. D. Stepanov, The weighted Hardy inequality: New proofs and the case p = 1, J. London Math. Soc. 54 (1996), 89-101.
12. 11. V. D. Stepanov, Weighted norm inequalities of Hardy type for a class of integral operators, J. London Math. Soc. 50 (1994), 105-120.