Abstract
We consider the following Liouville equation in \({\mathbb{R}}^{4}\)
For each fixed \(x^0 \in {\mathbb{R}}^{4}, 1 \le k \le 4, \alpha \in (1-\frac{k}{4}, 2)\) and a j > 0 for 1 ≤ j ≤ k, we construct a solution to the above equation with the following asymptotic behavior:
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Wei, J., Ye, D. Nonradial solutions for a conformally invariant fourth order equation in \(\mathbb {R}^4\) . Calc. Var. 32, 373–386 (2008). https://doi.org/10.1007/s00526-007-0145-2
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DOI: https://doi.org/10.1007/s00526-007-0145-2