Data di Pubblicazione:
2004
Citazione:
Elliptic equations in $\Bbb R\sp 2$ with one-sided exponential growth / Z. Zhang, M. Calanchi, B. Ruf. - In: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. - ISSN 0219-1997. - 6:6(2004), pp. 947-971.
Abstract:
We consider elliptic equations in bounded domains Ω⊂ℝ2 with nonlinearities which have exponential growth at +∞ (subcritical and critical growth, respectively) and linear growth λ at -∞, with λ>λ1, the first eigen value of the Laplacian. We prove that such equations have at least two solutions for certain forcing terms; one solution is negative, the other one is sign-changing. Some critical groups and Morse index of these solutions are given. Also the case λ<λ1 is considered.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Critical growth; Critical points; One-sided exponential growth; Sign-changing solutions
Elenco autori:
Z. Zhang, M. Calanchi, B. Ruf
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