Bifurcation problems for superlinear elliptic indefinite equations with exponential growth

Adimurthi; Jacques Giacomoni

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Bifurcation problems for superlinear elliptic indefinite equations with exponential growth

机译：具有指数增长的超线性椭圆型不定方程的分叉问题

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摘要

This paper deals with the existence and the behaviour of global connected branches of positive solutions of the problem (P) {-Δu = λu + h(x)φ(u)e~u in R~2 u ≥ 0 u → 0 when ||x|| → +∞ We consider a function h which is smooth and changes sign.

机译：本文讨论了问题（P）{-Δu=λu+ h（x）φ（u）e〜u在R〜2 u≥0 u→0时正解的整体连通分支的存在和行为。 || x || →+∞我们考虑一个平滑且改变符号的函数h。

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《Nonlinear differential equations and applications: NoDEA》 |2005年第1期|共20页
作者
Adimurthi; Jacques Giacomoni;
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正文语种 eng
中图分类微分方程、积分方程;
关键词
Global bifurcation; uniform a priori bounds; moving plane; Kelvin transform; blow up analysis;

机译：全局分叉;一致先验界;运动平面;开尔文变换;爆破分析;

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专利

1. Bifurcation problems for superlinear elliptic indefinite equations with exponential growth [J] . Adimurthi, Jacques Giacomoni Nonlinear Differential Equations and Applications NoDEA . 2005,第1期

机译：具有指数增长的超线性椭圆型不定方程的分叉问题。
2. A priori bounds for an indefinite superlinear elliptic equation with exponential growth [J] . Mei LF Journal of Mathematical Analysis and Applications . 2008,第2期

机译：具有指数增长的不定超线性椭圆方程的先验界。
3. INDEFINITE QUASILINEAR ELLIPTIC EQUATIONS IN EXTERIOR DOMAINS WITH EXPONENTIAL CRITICAL GROWTH [J] . Alves CO, de Freitas LR, Soares SHM Differential and integral equations . 2011,第11a12期

机译：具有指数临界增长的外域中的不确定拟线性椭圆型方程
4. INTRICATE BIFURCATION DIAGRAMS FOR A CLASS OF ONE-DIMENSIONAL SUPERLINEAR INDEFINITE PROBLEMS OF INTEREST IN POPULATION DYNAMICS [C] . Julian Lopez-Gomez, Marcela Molina-Meyer, Andrea Tellini AIMS International Conference on Dynamical Systems, Differential Equations and Applications . 2013

机译：一类一维超级连续性无限期的分子分叉图群体动态感兴趣的无限性问题
5. Topics in nonlinear elliptic equations: (1) Bifurcation theory of nonlinear elliptic equations; (2) Spike layer solutions of the Cahn-Hilliard equation. [D] . Shi, Junping. 1998

机译：非线性椭圆方程的主题：（1）非线性椭圆方程的分岔理论；（2）Cahn-Hilliard方程的尖峰层解。
6. Andronov–Hopf and Neimark–Sacker bifurcations in time-delay differential equations and difference equations with applications to models for diseases and animal populations [O] . Rachadawan Darlai, Elvin J. Moore, Sanoe Koonprasert -1

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7. A priori bounds for an indefinite superlinear elliptic equation with exponential growth [O] . Mei Linfeng 2008

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Bifurcation problems for superlinear elliptic indefinite equations with exponential growth

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