Positive solutions of super-critical elliptic equations and asymptotics
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Publication:3141723
DOI10.1080/03605309308820958zbMath0793.35029OpenAlexW2015069303MaRDI QIDQ3141723
Xing-Bin Pan, Yingfei Yi, Russell A. Johnson
Publication date: 1 November 1993
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605309308820958
asymptotic behaviorsemilinear elliptic equationsradial solutionsinvariant manifoldexterior domainssingular ground states
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Cites Work
- Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent
- Elliptic equations with nearly critical growth
- Symmetry and related properties via the maximum principle
- The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
- Quasilinear Dirichlet problems driven by positive sources
- Asymptotic behaviour of positive solutions of elliptic equations with critical and supercritical growth. I: The radial case
- Applications of Shilnikov’s Theory to Semilinear Elliptic Equations
- On the Infinitely Many Solutions of a Semilinear Elliptic Equation
- Emden-Fowler equations involving critical exponents
- Global and local behavior of positive solutions of nonlinear elliptic equations
- On the Generalized Emden–Fowler Equation
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