SYMMETRY AND EXISTENCE OF SOLUTIONS OF SEMI-LINEAR ELLIPTIC SYSTEMS IN HYPERBOLIC SPACE

DOI10.1017/S0017089514000457zbMath1325.58012MaRDI QIDQ2942594

Haiyang He

Publication date: 11 September 2015

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

semilinear elliptic systemshyperbolic spaceexistence and qualitative properties of solutions

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Semilinear elliptic equations (35J61) PDEs on manifolds (35R01) Higher-order elliptic systems (35J48)

Cites Work

• Theory of function spaces II
• Symmetry and related properties via the maximum principle
• Classification of solutions of some nonlinear elliptic equations
• Symmetry results for semilinear elliptic systems in the whole space
• Applications of local linking to critical point theory
• A few symmetry results for nonlinear elliptic PDE on noncompact manifolds
• Classification of radial solutions to the Emden-Fowler equation on the hyperbolic space
• Symmetry results for positive solutions of some elliptic equations on manifolds
• Poincaré-Sobolev equations in the hyperbolic space
• A symmetry problem in potential theory
• Asymptotically Linear 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
• Positive splutions of semilinear elliptic systems
• Decay, symmetry and existence of solutions of semilinear elliptic systems

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