𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Boundedness of the number of orthogonal solutions of the equation-μ″ + q(x)u=λu for large values of -λ

✍ Scribed by V. E. Volkov

Publisher
SP MAIK Nauka/Interperiodica
Year
1984
Tongue
English
Weight
217 KB
Volume
36
Category
Article
ISSN
0001-4346

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

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.

Decay of Mass for the Equation ut=Δu−a(x
Decay of Mass for the Equation ut=Δu−a(x) up |∇u|q
✍ Ross G Pinsky 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 189 KB

Consider the quasilinear Cauchy problem where a>0, p and q satisfy p 0 and q 1 or p>1 and q=0, and This paper proves that the above equation possesses a unique positive classical solution and then investigates whether or not ##lim t Ä R d u(x, t) dx=0. In particular, it is shown that if a is on th

On the existence of a global classical s
On the existence of a global classical solution of the boundary value problem for □u−μu+aum=0 in the interior domain
✍ Akisato Kubo 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 150 KB 👁 3 views

Dedicated to Professor S. Irie on his 70th birthday ## Communicated by Y. Shibata In this paper we consider the boundary value problem for a semilinear equation 3 1 in the interior domain. We find a time global classical solution with exponential decay property by using singular hyperbolic equat