Results 41 to 50 of about 278 (186)
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
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A full multigrid method for semilinear elliptic equation [PDF]
Applications of Mathematics, 2017 16 pages, 6 figures.
Xie, Hehu, Xu, Fei
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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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Some maximum principles in semilinear elliptic equations [PDF]
Proceedings of the American Mathematical Society, 1986 We develop maximum principles for functions defined on the solutions to a class of semilinear, second order, uniformly elliptic partial differential equations. These principles are related to recent theorems of Protter and Protter and Weinberger and to a technique initiated by Payne for the determination of gradient bounds on the solution of the ...
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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
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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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Six One‐Sign Solutions for Semilinear Elliptic Problems in ℝN*
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this work, we consider the existence of one‐sign solutions for semilinear elliptic problems: {−Δu = λa(x)f(u), in ℝN, u(x)⟶0, as|x|⟶+∞, where N ≥ 3, λ is a real parameter and a ∈ C(ℝN, ℝ) is a weighted function, f ∈ C(ℝ, ℝ). Furthermore, by bifurcation technique, we identify the interval of bifurcation parameter in which the semilinear elliptic ...
Wenguo Shen, Claudia Capone
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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
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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
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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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