On the structure of solutions of a degenerate elliptic system
β Scribed by D. Jurgaitis
- Publisher
- Springer
- Year
- 1994
- Tongue
- English
- Weight
- 347 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0363-1672
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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
We prove the existence of bounded solutions of some boundary value problems for degenerate elliptic equations of second order in divergence form. Our results cover also the unbounded domain case. We discuss also the uniqueness problem and asymptotic behaviour of the solutions of our equation.