A priori estimates and blow-up behavior for solutions of \(-Q_Nu = Ve^u\) in bounded domain in \(\mathbb R^N\)

DOI10.1007/s11425-015-5060-yzbMath1347.35113arXiv1404.6611OpenAlexW2141528949MaRDI QIDQ295092

RuLong Xie, HuaJun Gong

Publication date: 17 June 2016

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.6611

zbMATH Keywords

blow-up behavior\(N\)-anisotropic Laplacian, \(N\)-anisotropic Liouville equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Blow-up in context of PDEs (35B44)

Related Items (11)

Anisotropic Trudinger-Moser inequalities associated with the exact growth in \({\mathbb{R}}^N\) and its maximizers ⋮ Asymptotic behavior of least energy solutions to the Finsler Lane-Emden problem with large exponents ⋮ An improved Trudinger-Moser inequality involving \(N\)-Finsler-Laplacian and \(L^p\) norm ⋮ Best constants and existence of maximizers for anisotropic weighted Moser-Trudinger inequalities in \(\mathbb{R}^N\) ⋮ Anisotropic Moser-Trudinger inequality involving \(L^n\) norm in the entire space \(\mathbb{R}^n\) ⋮ Sharp anisotropic singular Trudinger-Moser inequalities in the entire space ⋮ Concentration-compactness principle of singular Trudinger–Moser inequality involving N-Finsler–Laplacian operator ⋮ Moser-Trudinger inequality involving the anisotropic Dirichlet norm \((\int_\Omega F^N(\nabla u) d x)^{\frac{1}{N}}\) on \(W_0^{1, N}(\Omega)\) ⋮ On the anisotropic Moser-Trudinger inequality for unbounded domains in \(\mathbb{R}^n\) ⋮ Anisotropic Moser-Trudinger inequality involving \(L^n\) norm ⋮ Existence of solutions for the Finsler-Liouville type equation in two dimensions

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