We study a nonlinear elliptic second order problem with a nonlinear boundary condition. Assuming the existence of an ordered couple of a supersolution and a subsolution, we develop a quasilinearization method in order to construct an iterative scheme that converges to a solution. Furthermore, under
A general method for quasilinear elliptic problems in RN
✍ Scribed by Takaŝi Kusano; Charles A Swanson
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 647 KB
- Volume
- 167
- Category
- Article
- ISSN
- 0022-247X
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In this paper, we are concerned with the following eigenvalue problem: domain and -Ap is the degenerate p-Laplace operator with p > 1. An interesting special m e is when f = ( P ( Z ) ~U I ~~-~U + ~( ~) I U ( Q ~-~U , 0 < q1 < q2. By using the suband supersolutions method and the variational metho