Localized solutions of sublinear elliptic equations: Loitering at the hilltop

DOI10.1216/rmjm/1181071865zbMath0909.35041OpenAlexW2024953708MaRDI QIDQ1266973

Fred B. Weissler, Henry A. Warchall, Joseph A. Iaia

Publication date: 17 March 1999

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL27-4/CONT27-4/CONT27-4.html

zbMATH Keywords

semilinear elliptic equationsinfinitely many radial solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60)

Related Items (4)

Compactons ⋮ Quantization of spin direction for solitary waves in a uniform magnetic field ⋮ Multi-dimensional compactons and compact vortices ⋮ Nodal solutions for a sublinear elliptic equation

Cites Work

• Nonlinear scalar field equations. I: Existence of a ground state
• Radial solutions of \(\Delta u+f(u)=0\) with prescribed numbers of zeros
• Uniqueness of positive solutions of semilinear equations in \(R^ n\).
• Existence of solitary waves in higher dimensions
• On the Infinitely Many Solutions of a Semilinear Elliptic Equation
• Explicit construction of all spherically symmetric solitary waves for a nonlinear wave equation in multiple dimensions
• Uniqueness of solutions of semilinear Poisson equations
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