Symmetric positive entire solutions of second-order quasilinear degenerate elliptic equations

DOI10.1007/BF00381160zbMath0807.35035OpenAlexW1986894823MaRDI QIDQ1337988

Kusano Takaŝi, Akio Ogata, Yasuhiro Furusho

Publication date: 1 March 1995

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00381160

zbMATH Keywords

Schauder-Tychonov fixed point theoremexistence of regular radially symmetric positive solutionsradially symmetric \(p\)-Laplacian equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (10)

Existence of nontrivial solutions for singular quasilinear elliptic equations on \(\mathbb R^N\) ⋮ On positive radial entire solutions of second-order quasilinear elliptic systems. ⋮ Remarks on nonexistence of solutions of mixed sublinear and superlinear elliptic equation in \(\mathbb R^N\) ⋮ Asymptotics at infinity of solutions for \(p\)-Laplace equations in exterior domains ⋮ Asymptotic forms of slowly decaying positive solutions of second-order quasilinear ordinary differential equations related to degenerate elliptic equations ⋮ Entire solutions of quasilinear elliptic equations ⋮ Principal eigenvalue of the p-laplacian in RN ⋮ Partial differential equations. Transl. from the Russian ⋮ Positive entire solutions for singular \(p\)-Laplacian equations on \(\mathbb R^N\) with \(p \geq N \geq 2\) ⋮ Positive solutions to a class of second order differential equations with singular nonlinearities

Cites Work

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• Structure theorems for positive radial solutions to \(\text{div}(| Du|^{m-2} Du)+K(| x|)u^ q=0\) in \(\mathbb{R}^ n\)
• Some properties of weak solutions of nonlinear scalar field equations
• Nonexistence theorems for singular solutions of quasilinear partial differential equations
• Semilinear elliptic equations of Matukuma-type and related topics
• Quasilinear elliptic problems with critical exponents

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