Existence of the vortex solutions of some semilinear elliptic equations

DOI10.1007/BF02219052zbMath0884.34027MaRDI QIDQ1363323

Curtis B. Clemons

Publication date: 10 March 1998

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

zbMATH Keywords

semilinear elliptic equationsordinary differential equationsvortex solutionsphase space analysisstable and unstable manifolds, transverse intersection.transverse intersection

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear elliptic equations (35J60) Dynamical systems and ergodic theory (37-XX)

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On the unboundedness of the number of solutions of a Dirichlet problem

Cites Work

• On the vortex solutions of some nonlinear scalar field equations
• Uniqueness of positive radial solutions of \(\Delta u+f(u)=0\) in \({\mathbb{R}}^ n\)
• Radial solutions of a semilinear elliptic equation at a critical exponent
• On the Infinitely Many Solutions of a Semilinear Elliptic Equation