The absence of global solutions of the fourth-order Gauss type equation

DOI10.46698/U2023-1977-8822-OMaRDI QIDQ6500258

A. V. Neklyudov

Publication date: 10 May 2024

Published in: Vladikavkazskiĭ Matematicheskiĭ Zhurnal (Search for Journal in Brave)

zbMATH Keywords

global solutionsbiharmonic operatorexponential non-linearitydestruction of decisionsGauss type equation

Mathematics Subject Classification ID

Second-order elliptic equations (35J15)

Cites Work

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• On the absence of global solutions to the Gauss equation and solutions in external areas
• Existence and stability of entire solutions to a semilinear fourth order elliptic problem
• Nonradial solutions for a conformally invariant fourth order equation in \(\mathbb {R}^4\)
• Asymptotic behaviour of solutions to semi-linear elliptic equations on the half-cylinder
• On the conformal Gaussian curvature equation in \(\mathbb{R}^2\)
• A classification of solutions of a conformally invariant fourth order equation in \(\mathbb{R}^n\)
• A note on the inequality \(\Delta u\geq k(x)e^ u\) in \({\mathbb{R}}^ n\)
• On entire solutions of a semilinear elliptic equation on the plane
• Liouville theorems for stable radial solutions for the biharmonic operator
• ON THE ASYMPTOTIC PROPERTIES AND NECESSARY CONDITIONS FOR EXISTENCE OF SOLUTIONS OF NONLINEAR SECOND ORDER ELLIPTIC EQUATIONS
• ON THE EQUATION Δu+k(x)e^u= 0

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