Norm Estimates for Radially Symmetric Solutions of Semilinear Elliptic Equations

DOI10.2307/2154806zbMath0833.35039OpenAlexW4244261230MaRDI QIDQ4846107

Ryuji Kajikiya

Publication date: 26 September 1995

Full work available at URL: https://doi.org/10.2307/2154806

zbMATH Keywords

nonlinear Schrödinger equationKlein-Gordon equationSobolev normnumber of zerosLagrangianstanding wave solution

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear elliptic equations (35J60)

Related Items (3)

On a numerical method for constructing a positive solution of the two-point boundary-value problem for a second-order nonlinear differential equation ⋮ Numerical computation of solitons for optical systems ⋮ 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
• Existence of nodal solutions of semilinear equations in \({\mathbb{R}}^ n\)
• Radially symmetric solutions of semilinear elliptic equations, existence and Sobolev estimates
• Existence of solitary waves in higher dimensions
• Sobolev norms of radially symmetric oscillatory solutions for superlinear elliptic equations
• On the Infinitely Many Solutions of a Semilinear Elliptic Equation
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