𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the local behavior of solutions of Δ = g(x, u, ∇ u)

✍ Scribed by Philip Hartman

Publisher
John Wiley and Sons
Year
1956
Tongue
English
Weight
492 KB
Volume
9
Category
Article
ISSN
0010-3640

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On solutions of δu=f(u)
On solutions of δu=f(u)
✍ J. B. Keller 📂 Article 📅 1957 🏛 John Wiley and Sons 🌐 English ⚖ 360 KB
On the Multiplicity of the Solutions of
On the Multiplicity of the Solutions of the Equation −Δu=λ·f(u)
✍ Jean Saint Raymond 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 179 KB

Let W be a bounded open subset of R n . We discuss conditions on the continuous function f: R Q R ensuring that the problem -Du=l • f(u) admits unboundedly many weak solutions in H 1 0 (W) for any positive real l.

Existence of multiple positive solutions
Existence of multiple positive solutions for −Δu−μ(u/∣x∣2)=u2*−1+σf(x)
✍ Ting Cheng; Charles Xuejin Zhao 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 250 KB

## Abstract In this paper, we consider the semilinear elliptic problem where Ω⊂ℝ^N^ (__N__⩾3) is a bounded smooth domain such that 0∈Ω, σ>0 is a real parameter, $$\mu < \overline{\mu } = (N - 2)^{2} /4$$ and __f__(__x__) is some given function in L^∞^(Ω) such that __f__(__x__)⩾0, __f__(__x__)≢0 i