article · Mathematical Modeling and Computing
The objective of this paper is to investigate the elliptic singular Laplacian equation Δu−|∇u|q+up−u−δ=0 in RN, where N≥1, 1<q<p and δ>2. Our main contributions consist of establishing the existence of an entire strictly positive solution and analyzing certain properties of its asymptotic behavior, particularly when it exhibits monotonicity.
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DOI: 10.23939/mmc2023.04.1109
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