Results 31 to 40 of about 3,242 (149)
The Poisson equation in homogeneous Sobolev spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 36, Page 1909-1921, 2004., 2004 We consider Poisson′s equation in an n‐dimensional exterior domain G(n ≥ 2) with a sufficiently smooth boundary. We prove that for external forces and boundary values given in certain Lq(G)‐spaces there exists a solution in the homogeneous Sobolev space S2,q(G), containing functions being local in Lq(G) and having second‐order derivatives in Lq(G ...
Tatiana Samrowski, Werner Varnhorn
wiley +1 more source
Approximate symmetries in nonlinear viscoelastic media
, 2013 Approximate symmetries of a mathematical model describing one-dimensional motion in a medium with a small nonlinear viscosity are studied. In a physical application, the approximate solution is calculated making use of the approximate generator of the ...
M. Ruggieri, A. Valenti
semanticscholar +1 more source
A finite‐dimensional reduction method for slightly supercritical elliptic problems
Abstract and Applied Analysis, Volume 2004, Issue 8, Page 683-689, 2004., 2004 We describe a finite‐dimensional reduction method to find solutions for a class of slightly supercritical elliptic problems. A suitable truncation argument allows us to work in the usual Sobolev space even in the presence of supercritical nonlinearities: we modify the supercritical term in such a way to have subcritical approximating problems; for ...
Riccardo Molle, Donato Passaseo
wiley +1 more source
On the location of two blow up points on an annulus for the mean field equation [PDF]
, 2014 We consider the mean field equation on two-dimensional annular domains, and prove that if $P$ and $Q$ are two blow up points of a blowing-up solution sequence of the equation, then we must have $P=-Q$.Comment: To appear in ...
Grossi, M., Takahashi, F.
core +3 more sources
An elliptic problem with critical exponent and positive Hardy potential
Abstract and Applied Analysis, Volume 2004, Issue 2, Page 91-98, 2004., 2004 We give the existence result and the vanishing order of the solution in 0 for the following equation: −Δu(x) + (μ/|x|2)u(x) = λu(x) + u2*−1(x), where x ∈ B1, μ > 0, and the potential μ/|x|2 − λ is positive in B1.
Shaowei Chen, Shujie Li
wiley +1 more source
Multiplicity of concentrating solutions for a class of magnetic Schrödinger-Poisson type equation
Advances in Nonlinear Analysis, 2020 In this paper, we study the following nonlinear magnetic Schrödinger-Poisson type ...
Liu Yueli, Li Xu, Ji Chao
doaj +1 more source
Optimal Hardy-weights for the $(p,A)$-Laplacian with a potential term [PDF]
arXiv, 2021 We construct new optimal $L^p$ Hardy-type inequalities for elliptic Schr\"odinger-type ...
arxiv
Logistic equation with the p‐Laplacian and constant yield harvesting
Abstract and Applied Analysis, Volume 2004, Issue 9, Page 723-727, 2004., 2004 We consider the positive solutions of a quasilinear elliptic equation with p‐Laplacian, logistic‐type growth rate function, and a constant yield harvesting. We use sub‐super‐solution methods to prove the existence of a maximal positive solution when the harvesting rate is under a certain positive constant.
Shobha Oruganti +2 more
wiley +1 more source
A Variational Approach for the Neumann Problem in Some FLRW Spacetimes
Advanced Nonlinear Studies, 2019 In this paper, we study, using critical point theory for strongly indefinite functionals, the Neumann problem associated to some prescribed mean curvature problems in a FLRW spacetime with one spatial dimension.
Bereanu Cristian, Torres Pedro J.
doaj +1 more source
The exterior Dirichlet problem for the homogeneous complex k-Hessian equation
Advanced Nonlinear Studies, 2023 In this article, we consider the homogeneous complex kk-Hessian equation in an exterior domain Cn⧹Ω{{\mathbb{C}}}^{n}\setminus \Omega . We prove the existence and uniqueness of the C1,1{C}^{1,1} solution by constructing approximating solutions.
Gao Zhenghuan, Ma Xinan, Zhang Dekai
doaj +1 more source