Indefinite quasilinear Neumann problem on unbounded domains

• Autorzy: Chabrowski J.
• Języki publikacji: EN

Abstrakty

EN

We investigate the solvability of the quasilinear Neumann problem (1.1) with sub- and supercritical exponents in an unbounded domain Ω. Under some integrability conditions on the coefficients we establish embedding theorems of weighted Sobolev spaces into weighted Lebesgue spaces. This is used to obtain solutions through a global minimization of a variational functional.

Słowa kluczowe

EN

Neumann problem; sub- and supercritical exponents; indefinite weight functions

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2006
• Tom: Vol. 54, no 3-4
• Strony: 207--217
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Chabrowski J.

• Department of Mathematics, University of Queensland, St. Lucia 4072, Qld, Australia,

Bibliografia

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