1 results
The Ambrosetti–Prodi problem for elliptic systems with Trudinger–Moser nonlinearities
- Part of
-
- Journal:
- Proceedings of the Edinburgh Mathematical Society / Volume 55 / Issue 1 / February 2012
- Published online by Cambridge University Press:
- 04 January 2012, pp. 215-244
-
- Article
-
- You have access
- Export citation
-
In this work we study the following class of elliptic systems:
where Ω ⊂ ℝ2 is a smooth bounded domain, H is a C1 function in [0, +∞)×[0, +∞) which is assumed to be in the critical growth range of Trudinger–Moser type and f1, f2 ∈ Lr (Ω), r > 2. Under suitable hypotheses on the functions a, b, c ∈ C(
and using variational methods, we prove the existence of two solutions depending on f1 and f2.
and using variational methods, we prove the existence of two solutions depending on 