Structure of positive radial solutions to the Haraux-Weissler equation
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Publication:4266380
DOI10.1016/S0362-546X(97)00542-7zbMath0934.34028MaRDI QIDQ4266380
Claus Dohmen, Munemitsu Hirose
Publication date: 28 March 2000
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Nonlinear ordinary differential equations and systems (34A34) Growth and boundedness of solutions to ordinary differential equations (34C11)
Related Items (11)
On a decay property of solutions to the Haraux-Weissler equation ⋮ Regular self-similar solutions of the nonlinear heat equation with initial data above the singular steady state ⋮ On Gaussian decay estimates of solutions to some linear elliptic equations and their applications ⋮ A generalized Pohožaev identity and uniqueness of positive radial solutions of \(\Delta u+g(r)u+h(r)u^p=0\) ⋮ Unnamed Item ⋮ Global structure of self-similar solutions in a semilinear parabolic equation ⋮ Linear behaviour of solutions of a superlinear heat equation ⋮ A unified approach to the structure of radial solutions for semilinear elliptic problems ⋮ The evolution to localized and front solutions in a non-Lipschitz reaction-diffusion Cauchy problem with trivial initial data ⋮ Radial symmetry of self-similar solutions for semilinear heat equations ⋮ Structure of positive radial solutions to scalar field equations with harmonic potential
Cites Work
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- Asymptotic analysis of an ordinary differential equation and non-uniqueness for a semilinear partial differential equation
- On the equation \(\Delta u+x\cdot \nabla u+f(u)=0\)
- Uniqueness of rapidly decaying solutions to the Haraux-Weissler equation
- Variational problems related to self-similar solutions of the heat equation
- A unified approach to the structure of radial solutions for semilinear elliptic problems
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