This paper deals with a class of degenerate quasilinear elliptic equations of the form -div(a(x, u, βu) = gdiv(f ), where a(x, u, βu) is allowed to be degenerate with the unknown u. We prove existence of bounded solutions under some hypothesis on f and g. Moreover we prove that there exists a renor
β¦ LIBER β¦
Positive solutions for a quasilinear degenerate elliptic equation inRn
β Scribed by Giovanna Citti
- Book ID
- 112907890
- Publisher
- Springer Milan
- Year
- 1986
- Tongue
- Italian
- Weight
- 391 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0009-725X
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## Abstract We study the degenerate ecological models where ${p,q>1, {\Delta\_pu}={{\rm div}(\vert Du\vert^{p-2}Du)},{{\Delta\_q}v={{\rm div}(\vert Dv\vert^{q-2}Dv)}}}, a,b,c,d,\alpha, \beta$ are positive numbers. The structure of positive solutions of the models is discussed via bifurcation theo