Existence of positive weak solutions with a prescribed singular set of semilinear elliptic equations
From MaRDI portal
Publication:1589343
DOI10.1007/BF02921937zbMath0958.35050MaRDI QIDQ1589343
Chang-Shou Lin, Chuin Chuan Chen
Publication date: 11 December 2000
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Nonlinear boundary value problems for linear elliptic equations (35J65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)
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Cites Work
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- Existence and convergence of positive weak solutions of \(-\Delta u=u^{n\over {n-2}}\) in bounded domains of \(\mathbb{R}^ n\), \(n\geq 3\)
- Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
- The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation
- Global and local behavior of positive solutions of nonlinear elliptic equations
- On the stability and instability of positive steady states of a semilinear heat equation in ℝn
