Results 61 to 70 of about 1,290,485 (220)
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
Advanced Nonlinear Studies, 2023 In our previous paper [K. Ishige, S. Okabe, and T. Sato, A supercritical scalar field equation with a forcing term, J. Math. Pures Appl. 128 (2019), pp.
Ishige Kazuhiro +2 more
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Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.Abstract In this paper, we investigate the following D1,p$D^{1,p}$‐critical quasi‐linear Hénon equation involving p$p$‐Laplacian −Δpu=|x|αupα∗−1,x∈RN,$$\begin{equation*} -\Delta _p u=|x|^{\alpha }u^{p_\alpha ^*-1}, \qquad x\in \mathbb {R}^N, \end{equation*}$$where N⩾2$N\geqslant 2$, 1
Wei Dai +3 more
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Oscillatory Radial Solutions of Semilinear Elliptic Equations
Journal of Mathematical Analysis and Applications, 1997 We study the oscillatory behavior of radial solutions of the nonlinear partial differential equation Δu + f(u) + g(|x|, u) = 0 inRn, where f and g are continuous restoring functions, uf(u) > 0 and ug(|x|, u) > 0 for u ≠ 0. We assume that for fixedq limu → 0(|f(u)|/|u|q) = B > 0, for 1 < q < n/(n − 2), and, additionally, that 2F(u) ≥ (1 − 2/n)uf(u) when
Derrick, William R. +2 more
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Large‐Amplitude Periodic Solutions to the Steady Euler Equations With Piecewise Constant Vorticity
Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.ABSTRACT We consider steady solutions to the incompressible Euler equations in a two‐dimensional channel with rigid walls. The flow consists of two periodic layers of constant vorticity separated by an unknown interface. Using global bifurcation theory, we rigorously construct curves of solutions that terminate either with stagnation on the interface ...
Alex Doak +3 more
wiley +1 more source
Elliptic Equations Involving Measures [PDF]
, 2004 We present the most recent results dealing with the theory of second order semilinear elliptic equations with measures ...
Laurent Véron, Veron, Laurent
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Modeling Spiral Chaos in Predator–Prey Dynamics Using Implicit Integration Factor Schemes
Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.This paper presents efficient implicit integration factor (IIF) methods as robust alternatives to classical finite difference schemes for the numerical solution of nonlinear time‐dependent reaction–diffusion equations in one and two spatial dimensions.
Kolade M. Owolabi +4 more
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A Singular Semilinear Elliptic Equation with a Variable Exponent
Advanced Nonlinear Studies, 2016 Abstract In this paper we consider singular semilinear elliptic equations with a variable exponent whose model problem is
Carmona Tapia, José +1 more
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On the Cauchy problem for semilinear elliptic equations [PDF]
, 2016 We study the Cauchy problem for non-linear (semilinear) elliptic partial differential equations in Hilbert spaces. The problem is severely ill-posed in the sense of Hadamard.
Viet, TQ, Binh, TT, Taun, NH, Lesnic, D
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Boundary Poisson Barriers and a Sharper Continuation Theorem for Li–Lin’s Problem
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.We sharpen the continuation part of Tang and Tang’s subsupersolution argument for the boundary singular Hardy–Sobolev equation −Δu=−λx−s1up−1+x−s2uq−1 in Ω,u=0 on ∂Ω, with 0 ∈ ∂Ω. Their explicit supersolution M|x|−α forces the bulk superharmonicity restriction α ≤ N − 2, hence the condition q ≤ p − (s2 − s1)/(N − 2).
Chan Woo Yang, Elena Kaikina
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