Results 91 to 100 of about 394,604 (313)
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
Almgren-type monotonicity methods for the classification of behavior at corners of solutions to semilinear elliptic equations [PDF]
, 2011 A monotonicity approach to the study of the asymptotic behavior near corners of solutions to semilinear elliptic equations in domains with a conical boundary point is discussed.
Felli, Veronica, Ferrero, Alberto
core
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 +2 more
wiley +1 more source
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
Leapfrogging vortex rings for the three‐dimensional incompressible Euler equations
Communications on Pure and Applied Mathematics, Volume 77, Issue 10, Page 3843-3957, October 2024.Abstract A classical problem in fluid dynamics concerns the interaction of multiple vortex rings sharing a common axis of symmetry in an incompressible, inviscid three‐dimensional fluid. In 1858, Helmholtz observed that a pair of similar thin, coaxial vortex rings may pass through each other repeatedly due to the induced flow of the rings acting on ...
Juan Dávila +3 more
wiley +1 more source
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
Radial solutions to semilinear elliptic equations via linearized operators
Electronic Journal of Qualitative Theory of Differential Equations, 2017 Let $u$ be a classical solution of semilinear elliptic equations in a ball or an annulus in $\mathbb{R}^N$ with zero Dirichlet boundary condition where the nonlinearity has a convex first derivative.
Phuong Le
doaj +1 more source
A remark on the uniqueness of positive solutions to semilinear elliptic equations with double power nonlinearities [PDF]
arXiv, 2008 We consider the uniqueness of positive solutions to semilinear elliptic equations with double power nonlinearities. We deduce the uniqueness from the argument in the classical paper by Peletier and Serrin, thereby recovering a part of the uniqueness result of Ouyang and Shi.
arxiv
Infinitely many solutions for semilinear nonlocal elliptic equations under noncompact settings [PDF]
, 2015 In this paper, we study a class of semilinear nonlocal elliptic equations posed on settings without compact Sobolev embedding. More precisely, we prove the existence of infinitely many solutions to the fractional Brezis-Nirenberg problems on bounded ...
Choi, Woocheol, Seok, Jinmyoung
core
Convexity of solutions of semilinear elliptic equations
Duke Mathematical Journal, 1985 On considere le probleme elliptique suivant Δu=f(u) dans Ω, u=M sur ∂Ω ou Ω est un domaine convexe de R 2 et M est soit une constante reelle soit +∞. On etablit que, pour une bonne fonction monotone g(t), pout toute solution u on a g(u) est strictement convexe dans ...
Caffarelli, Luis A., Friedman, Avner
openaire +3 more sources