Results 71 to 80 of about 376,175 (295)

Existence of solutions of the Dirichlet problem for an infinite system of nonlinear differential-functional equations of elliptic type [PDF]

Opuscula Mathematica, 2005
The Dirichlet problem for an infinite weakly coupled system of semilinear differential-functional equations of elliptic type is considered. It is shown the existence of solutions to this problem.
Tomasz S. Zabawa
doaj  

On semilinear elliptic equations with borderline Hardy potentials [PDF]

Journal d'Analyse Mathématique, 2014
In this paper we study the asymptotic behavior of solutions to an elliptic equation near the singularity of an inverse square potential with a coefficient related to the best constant for the Hardy inequality. Due to the presence of a borderline Hardy potential, a proper variational setting has to be introduced in order to provide a weak formulation of
FELLI, VERONICA, Ferrero, A.
openaire   +5 more sources

A posteriori error estimation and adaptivity for temporal multiscale problems

PAMM, Volume 24, Issue 4, December 2024.
Abstract In science and engineering, problems over multiple scales in time often arise. Two examples are material damage in oscillating structures or plaque growth in pulsating blood vessels. Here the long term effects are of interest but they depend on the coupled fast‐changing physical processes which must be taken into account.
Leopold Lautsch, Thomas Richter
wiley   +1 more source

Multiplicity and Bifurcation of Solutions for a Class of Asymptotically Linear Elliptic Problems on the Unit Ball

Journal of Function Spaces and Applications, 2013
This paper mainly dealt with the exact number and global bifurcation of positive solutions for a class of semilinear elliptic equations with asymptotically linear function on a unit ball.
Benlong Xu
doaj   +1 more source

Bifurcation for indefinite‐weighted p$p$‐Laplacian problems with slightly subcritical nonlinearity

Mathematische Nachrichten, Volume 297, Issue 11, Page 3982-4002, November 2024.
Abstract We study a superlinear elliptic boundary value problem involving the p$p$‐Laplacian operator, with changing sign weights. The problem has positive solutions bifurcating from the trivial solution set at the two principal eigenvalues of the corresponding linear weighted boundary value problem.
Mabel Cuesta, Rosa Pardo
wiley   +1 more source

Stability of solutions of infinite systems of nonlinear differential-functional equations of parabolic type [PDF]

Opuscula Mathematica, 2006
A parabolic initial boundary value problem and an associated elliptic Dirichlet problem for an infinite weakly coupled system of semilinear differential-functional equations are considered.
Tomasz S. Zabawa
doaj  

Unique determination of potentials and semilinear terms of semilinear elliptic equations from partial Cauchy data [PDF]

arXiv, 2012
For a semilinear elliptic equation, we prove uniqueness results in determining potentials and semilinear terms from partial Cauchy data on an arbitrary subboundary.
arxiv  

On the maximum field of linearity of linear sets

Bulletin of the London Mathematical Society, Volume 56, Issue 11, Page 3300-3315, November 2024.
Abstract Let V$V$ denote an r$r$‐dimensional Fqn$\mathbb {F}_{q^n}$‐vector space. For an m$m$‐dimensional Fq$\mathbb {F}_q$‐subspace U$U$ of V$V$, assume that dimq⟨v⟩Fqn∩U⩾2$\dim _q \left(\langle {\bf v}\rangle _{\mathbb {F}_{q^n}} \cap U\right) \geqslant 2$ for each nonzero vector v∈U${\bf v}\in U$. If n⩽q$n\leqslant q$, then we prove the existence of
Bence Csajbók, Giuseppe Marino, Valentina Pepe   +2 more
wiley   +1 more source

Dirichlet problems for semilinear elliptic equations with a fast growth coefficient on unbounded domains

Electronic Journal of Differential Equations, 2005
When an unbounded domain is inside a slab, existence of a positive solution is proved for the Dirichlet problem of a class of semilinear elliptic equations that are similar either to the singular Emden-Fowler equation or a sublinear elliptic equation ...
Zhiren Jin
doaj  

Overcoming the curse of dimensionality in the numerical approximation of high-dimensional semilinear elliptic partial differential equations [PDF]

arXiv, 2020
Recently, so-called full-history recursive multilevel Picard (MLP) approximation schemes have been introduced and shown to overcome the curse of dimensionality in the numerical approximation of semilinear parabolic partial differential equations (PDEs) with Lipschitz nonlinearities. The key contribution of this article is to introduce and analyze a new
arxiv