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Groundstate asymptotics for a class of singularly perturbed p-Laplacian problems in $${{\mathbb {R}}}^N$$
Wedad Albalawi,
Carlo Mercuri,
Vitaly Moroz 
Annali di Matematica Pura ed Applicata (1923 -), Volume: 199, Issue: 1, Pages: 23 - 63
Swansea University Authors:
Carlo Mercuri, Vitaly Moroz
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DOI (Published version): 10.1007/s10231-019-00865-6
Abstract
We study the asymptotic behavior of positive groundstate solutions to the quasilinear elliptic equation in the whole space; we give a characterisation of asymptotic regimes as a function of the parameters and show that the behavior of the groundstates is sensitive to the relation of the growth on th...
| Published in: | Annali di Matematica Pura ed Applicata (1923 -) |
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| ISSN: | 0373-3114 1618-1891 |
| Published: |
Springer Science and Business Media LLC
2020
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa50315 |
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| Abstract: |
We study the asymptotic behavior of positive groundstate solutions to the quasilinear elliptic equation in the whole space; we give a characterisation of asymptotic regimes as a function of the parameters and show that the behavior of the groundstates is sensitive to the relation of the growth on the nonlinearities and the critical Sobolev exponent. |
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| Keywords: |
Groundstates, Liouville-type theorems, quasilinear equations, singular perturbation |
| College: |
Faculty of Science and Engineering |
| Issue: |
1 |
| Start Page: |
23 |
| End Page: |
63 |