Zur Existenz ganzer Lösungen der Differentialgleichung \(\Delta^p u=e^u\)

DOI10.1007/BF01900595zbMath0087.09602OpenAlexW1972365905MaRDI QIDQ770897

Wolfgang Walter

Publication date: 1958

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01900595

zbMATH Keywords

elliptic equationsexistence of entire solutions

Mathematics Subject Classification ID

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

Related Items

Entire solutions for a semilinear fourth order elliptic problem with exponential nonlinearity ⋮ Entire solutions of a class of even order quasilinear elliptic equations ⋮ Positive entire solutions for a class of singular nonlinear polyharmonic equations on \(\mathbb R^2\) ⋮ Radial entire solutions to even order semilinear elliptic equations in the plane ⋮ Entire solutions of Δ^pu = f(r, u) ⋮ The existence of positive entire solutions to singular nonlinear polyharmonic equations in \(\mathbb R^n\) ⋮ Existence and stability properties of entire solutions to the polyharmonic equation \((-\Delta)^{m}u=e^{u}\) for any \(m\geq 1\) ⋮ Boundary blow-up for differential equations with indefinite weight

Cites Work

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

This page was built for publication: Zur Existenz ganzer Lösungen der Differentialgleichung \(\Delta^p u=e^u\)