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weighted Sobolev spaces; Hardy type inequality; degenerate elliptic equations; Hardy inequality; weak solutions
Using a Hardy-type inequality, the authors weaken certain assumptions from the paper [1] and derive existence results for equations with a stronger degeneration.
[1] P. Drábek A. Kufner F. Nicolosi: On the solvability of degenerated quasilinear elliptic equations of higher order. Journal of Differential Equations 109 (1994), 325-347. DOI 10.1006/jdeq.1994.1053 | MR 1273306
[2] F. Guglielmino F. Nicolosi: Teoremi di esistenza per i problemi ai contorno relativi alle equazioni ellitiche quasilineari. Ricerche di Matematica 37 (1988), fasc. 1, 157-176.
[3] P. Drábek F. Nicolosi: Existence of bounded solutions for some degenerated quasilinear elliptic equations. Annali Mat. Pura Applicata, Ser. IV 165 (1993), 217-238. DOI 10.1007/BF01765850 | MR 1271420
[4] R.A. Adams: Sobolev spaces. Academic Press, New York, 1975. MR 0450957 | Zbl 0314.46030
[5] A. Kufner O. John S. Fučík: Function spaces. Noordhoff International Publishing, Leyden, 1977. MR 0482102
[6] B. Opic A. Kufner: Hardy-type inequalities. Pitman Research Notes in Mathematics Series, 219. Longman Scientific and Technical, Harlow, 1990. MR 1069756
[7] A. Kufner: Weighted Sobolev spaces. J. Wiley and Sons, Chichester-New York-Brisbane-Toronto-Singapore, 1985. MR 0802206 | Zbl 0579.35021
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