Liouville-type theorems for the Lane-Emden equation in the half-space and cones

DOI10.1016/j.jfa.2023.109906OpenAlexW4301184086MaRDI QIDQ2692716

Troy Petitt, Alberto Farina, Louis Dupaigne

Publication date: 22 March 2023

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.06049

zbMATH Keywords

ellipticsemilinearLiouville

Mathematics Subject Classification ID

Elliptic equations and elliptic systems (35Jxx) Qualitative properties of solutions to partial differential equations (35Bxx) General topics in partial differential equations (35Axx)

Cites Work

• Unnamed Item
• Partial regularity of stable solutions to the supercritical equations and its applications
• Isolated boundary singularities of semilinear elliptic equations
• On the classification of solutions of the Lane-Emden equation on unbounded domains of \(\mathbb R^N\)
• Liouville theorems for stable solutions of semilinear elliptic equations with convex nonlinearities
• Partial regularity for weak solutions of a nonlinear elliptic equation
• Symmetry and nonexistence results for Emden-Fowler equations in cones.
• Projections onto convex sets on the sphere
• Monotonicity and nonexistence results to cooperative systems in the half space
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Some notes on the method of moving planes
• Existence and non-existence results for semilinear elliptic problems in unbounded domains
• A Liouville-Type Theorem for the Lane–Emden Equation in a Half-space

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