Nonexistence of positive solutions for polyharmonic systems in \(\mathbb{R}^N_+\)

DOI10.3934/cpaa.2016.15.701zbMath1336.35151OpenAlexW2525622597MaRDI QIDQ256254

F. Blanchet-Sadri, M. Dambrine

Publication date: 9 March 2016

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2016.15.701

zbMATH Keywords

moving planenonexistence of positive solutionspolyharmonic systems

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Positive solutions to PDEs (35B09) Higher-order elliptic systems (35J48)

Cites Work

• Unnamed Item
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Moving plane methods for systems on half spaces
• A priori bounds and a Liouville theorem on a half-space for higher-order elliptic Dirichlet problems
• Symmetry and related properties via the maximum principle
• Classification of solutions of some nonlinear elliptic equations
• Estimates and extremals for zeta function determinants on four-manifolds
• Classification of solutions of higher order conformally invariant equations
• A classification of solutions of a conformally invariant fourth order equation in \(\mathbb{R}^n\)
• Large energy entire solutions for the Yamabe type problem of polyharmonic operator
• Semilinear elliptic problems with mixed Dirichlet-Neumann boundary conditions.
• Some nonexistence results for positive solutions of elliptic equations in unbounded domains.
• A mathematical model for the propagation of a hantavirus in structured population
• Symmetry properties of positive solutions to some elliptic equations with nonlinear boundary conditions
• On positive entire solutions to a class of equations with a singular coefficient and critical exponent
• Uniqueness theorems through the method of moving spheres
• Infinitely many solutions for the prescribed curvature problem of polyharmonic operator
• Liouville-type theorems for polyharmonic systems in \(\mathbb R^N\)
• Liouville type theorems, monotonicity results and a priori bounds for positive solutions of elliptic systems
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• A priori bounds for positive solutions of nonlinear elliptic equations
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Some notes on the method of moving planes
• Non—existence of positive solutions to semilinear elliptic equations on r” or r” through the method of moving planes
• Uniqueness theorem for the entire positive solutions of biharmonic equations in Rⁿ

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