Existence and starshapedness for the lane-emden equation

DOI10.1080/00036810108840923zbMath1089.35022OpenAlexW1974005213MaRDI QIDQ3152123

Antonio Greco, Wolfgang Reichel

Publication date: 22 October 2002

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810108840923

zbMATH Keywords

elliptic equationKelvin transformationmoving spheresgeometry of solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (4)

Unnamed Item ⋮ Starshapedness of level sets of solutions to elliptic PDEs ⋮ Quasi-concavity for semilinear elliptic equations with non-monotone and anisotropic nonlinearities ⋮ Starshapedeness for fully non‐linear equations in Carnot groups

Cites Work

• Unnamed Item
• A characteristic property of spheres
• Rearrangements and convexity of level sets in PDE
• Symmetry and related properties via the maximum principle
• Capacitary functions in convex rings
• On convexity and starshapedness of level sets for some nonlinear elliptic and parabolic problems on convex rings
• Blow-up in exterior domains: existence and star-shapedness
• Non-existence results for semilinear cooperative elliptic systems via moving spheres
• Radial symmetrization and capacities in space
• Starshapedness of Level Sets for Solutions of Nonlinear Elliptic Equations
• The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains
• On the uniqueness, monotonicity, starlikeness, and convexity of solutions for a nonlinear boundary value problem in elliptic PDEs
• On the method of moving planes and the sliding method

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