We study the Dirichlet problem for the Hénon equation -Δu = |x|αup-1 in the unit ball B ⊂ RN. For N ≥ 4 and a large we prove the existence of positive nonradial solutions for a range of p's including supercritical values.
Multiplicity results for the supercritical Hénon equation / M. Badiale, E. Serra. - In: ADVANCED NONLINEAR STUDIES. - ISSN 1536-1365. - 4:4(2004), pp. 453-467.
Multiplicity results for the supercritical Hénon equation
E. SerraUltimo
2004
Abstract
We study the Dirichlet problem for the Hénon equation -Δu = |x|αup-1 in the unit ball B ⊂ RN. For N ≥ 4 and a large we prove the existence of positive nonradial solutions for a range of p's including supercritical values.
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