ABSTRACT
In this work, we analyse the existence of solutions to the nonlinear elliptic system:
where is a bounded domain of and , with . f, g are nonnegative measurable functions with additional hypotheses and . As a consequence we show that the fourth-order problem
has a solution for all , under suitable conditions on and .
Acknowledgements
The authors would like to thank Prof. Michel PIERRE for his helpful suggestions and fruitful discussions during the preparation of this work. Part of this work was realized while the first author was visiting the Institute Elie Cartan, Université Lorraine. He would like to thanks the institute for the warm hospitality.
Notes
No potential conflict of interest was reported by the authors.