Geodesic
Solvability of degenerate elliptic boundary value problems: another approach
Mathematica Bohemica, Tome 119 (1994) no. 3, pp. 255-274

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MR Zbl
Using a Hardy-type inequality, the authors weaken certain assumptions from the paper [1] and derive existence results for equations with a stronger degeneration.
Using a Hardy-type inequality, the authors weaken certain assumptions from the paper [1] and derive existence results for equations with a stronger degeneration.
DOI : 10.21136/MB.1994.126167
Classification : 35D05, 35J65, 35J70
Keywords: weighted Sobolev spaces; Hardy type inequality; degenerate elliptic equations; Hardy inequality; weak solutions 
Kufner, Alois; Leonardi, Salvatore. Solvability of degenerate elliptic boundary value problems: another approach. Mathematica Bohemica, Tome 119 (1994) no. 3, pp. 255-274. doi: 10.21136/MB.1994.126167
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[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 | MR

[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 | MR

[4] R.A. Adams: Sobolev spaces. Academic Press, New York, 1975. | MR | Zbl

[5] A. Kufner O. John S. Fučík: Function spaces. Noordhoff International Publishing, Leyden, 1977. | MR

[6] B. Opic A. Kufner: Hardy-type inequalities. Pitman Research Notes in Mathematics Series, 219. Longman Scientific and Technical, Harlow, 1990. | MR

[7] A. Kufner: Weighted Sobolev spaces. J. Wiley and Sons, Chichester-New York-Brisbane-Toronto-Singapore, 1985. | MR | Zbl

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