Resonance phenomenon for a Gelfand-type problem
Resonance phenomenon.pdf (502.7Kb)Abstract
We consider positive radially symmetric solutions of
−Δu = λ(eu − 1), in B, u = 0 on ∂B,
where B is the unit ball in RN , N ≥ 3 and λ > 0 is a parameter. We establish infinite multiplicity
of regular solutions for 3 ≤ N ≤ 9 and some λ, and we obtain a bound for the Morse
index and the number of solutions when N ≥ 10.
General note
Artículo de publicación ISI
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Nonlinear Analysis 89 (2013) 299–321
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