Results 91 to 100 of about 3,208 (150)
Let Ω⊂Rn\Omega \subset {{\bf{R}}}^{n} be a smooth bounded domain. In this article, we prove a result of which the following is a by-product: Let q∈]0,1[q\in ]0,1{[}, α∈L∞(Ω)\alpha \in {L}^{\infty }\left(\Omega ), with α>0\alpha \gt 0, and k∈Nk\in {\bf{N}}
Ricceri Biagio
doaj +1 more source
Morrey estimates for a class of elliptic equations with drift term
We consider the following boundary value ...
Cirmi G. R., D’Asero S., Leonardi S.
doaj +1 more source
A note on the Neumann problem [PDF]
In this paper we provide an application to the Neumann problem of a recent three critical points theorem.
arxiv
Electromagnetic wave scattering by many conducting small particles [PDF]
A rigorous theory of electromagnetic (EM) wave scattering by small perfectly conducting particles is developed. The limiting case when the number of particles tends to infinity is discussed.
arxiv +1 more source
Ground state solution of a noncooperative elliptic system
In this paper, we study the existence of a ground state solution, that is, a non trivial solution with least energy, of a noncooperative semilinear elliptic system on a bounded domain.
Batkam, Cyril Joel
core +1 more source
We investigate the behaviour of weak solutions of boundary value problems for quasi-linear elliptic divergence second order equations in unbounded domains. We show the boundedness of weak solutions to our problem.
Wiśniewski Damian
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An elliptic pde with convex solutions [PDF]
Using a mixture of classical and probabilistic techniques we investigate the convexity of solutions to the elliptic pde associated with a certain generalized Ornstein-Uhlenbeck process.
arxiv
Overdetermined boundary value problems for the $\infty$-Laplacian
We consider overdetermined boundary value problems for the $\infty$-Laplacian in a domain $\Omega$ of $\R^n$ and discuss what kind of implications on the geometry of $\Omega$ the existence of a solution may have.
Buttazzo, G., Kawohl, B.
core +2 more sources
Liouville Type Theorem For A Nonlinear Neumann Problem [PDF]
Consider the following nonlinear Neumann problem \[ \begin{cases} \text{div}\left(y^{a}\nabla u(x,y)\right)=0, & \text{for }(x,y)\in\mathbb{R}_{+}^{n+1}\\ \lim_{y\rightarrow0+}y^{a}\frac{\partial u}{\partial y}=-f(u), & \text{on }\partial\mathbb{R}_ ...
Xiang, Changlin
core
Multiplicity of positive solutions for eigenvalue problems of (p,2)-equations
We consider a nonlinear parametric equation driven by the sum of a p-Laplacian (p>2) and a Laplacian (a (p,2)-equation) with a Carathéodory reaction, which is strictly (p−2)-sublinear near +∞.
L. Gasiński, N. Papageorgiou
semanticscholar +1 more source