Ganze Lösungen der Differentialgleichung \(\Delta^p u = f(u)\)

DOI10.1007/BF01258839zbMath0077.30303MaRDI QIDQ768577

Wolfgang Walter

Publication date: 1957

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/169650

zbMATH Keywords

elliptic equationsentire solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Entire solutions to PDEs (35B08)

Related Items (13)

Oscillatory radial solutions for subcritical biharmonic equations ⋮ Entire solutions of a class of even order quasilinear elliptic equations ⋮ Elliptic and parabolic semilinear problems without conditions at infinity ⋮ Positive entire solutions for a class of singular nonlinear polyharmonic equations on \(\mathbb R^2\) ⋮ Radial solutions of a polyharmonic equation with power nonlinearity ⋮ Remarks on Entire Solutions for Two Fourth-Order Elliptic Problems ⋮ Radial entire solutions to even order semilinear elliptic equations in the plane ⋮ Entire solutions of Δ^pu = f(r, u) ⋮ Liouville theorems for a class of fourth order elliptic equations ⋮ The existence of positive entire solutions to singular nonlinear polyharmonic equations in \(\mathbb R^n\) ⋮ Zur Existenz ganzer Lösungen der Differentialgleichung \(\Delta^p u=e^u\) ⋮ On the growth of entire solutions of algebraic differential equations ⋮ Existence and stability properties of entire solutions to the polyharmonic equation \((-\Delta)^{m}u=e^{u}\) for any \(m\geq 1\)

Cites Work

• Über ganze Lösungen der Differentialgleichung \(\Delta u=f(u)\)
• Mittelwertsätze und ihre Verwendung zur Lösung von Randwertaufgaben
• Ganze Lösungen der Differentialgleichung \(\Delta u=e^u\)
• Integraltafel
• A Note on Unrestricted Solutions of the Differential Equation Δu =f (u )

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