Supercritical problems via a fixed point argument on the cone of monotonic functions (Q2172757)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Supercritical problems via a fixed point argument on the cone of monotonic functions |
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Supercritical problems via a fixed point argument on the cone of monotonic functions (English)
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16 September 2022
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The author investigates the existence of positive solutions for Dirichlet problems associated with some classes of supercritical elliptic equations and systems (including the Henon equation, the gradient systems, the Hamiltonian systems, and the Lane-Emden system) on bounded domains satisfying certain symmetry and monotonicity conditions. The author proposes a unified approach, based on fixed point methods, to establish existence results for above problems.
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supercritical elliptic problems
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domains of double revolution
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fixed point methods
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