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The ground states of quasilinear Hénon equation with double weighted critical exponents
Part of:
Elliptic equations and systems
Partial differential equations
Close-to-elliptic equations and systems
Published online by Cambridge University Press: 03 June 2022
Abstract
We prove the existence of nontrivial ground state solutions of the critical quasilinear Hénon equation 
$\displaystyle -\Delta _p u=|x|^{\alpha _1}|u|^{p^{*}(\alpha _1)-2}u-|x|^{\alpha _2}|u|^{p^{*}(\alpha _2)-2}u\ \ {\rm in}\ \mathbb {R}^{N}.$ It is a new problem in the sense that the signs of the coefficients of critical terms are opposite.
MSC classification
Primary:
35B38: Critical points
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 153 , Issue 3 , June 2023 , pp. 1037 - 1044
- Copyright
- Copyright © The Author(s), 2022. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh
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