A note on radial symmetry of positive solutions for semilinear elliptic equations in $\mathbb{R}^n$ [PDF]
, 1998 Yūki Naito
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Elastic anisotropy in the reduced Landau-de Gennes model. [PDF]
Proc Math Phys Eng Sci, 2022 Han Y, Harris J, Majumdar A, Zhang L.
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Symmetry properties in systems of semilinear elliptic equations
Journal of Differential Equations, 1981 AbstractWe investigate symmetry properties of solutions of systems of semilinear elliptic equations. The two main tools we use consist of the maximum principle and the device of moving parallel planes to a critical position and then showing that the solution is symmetric about the limiting plane.
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A Second look at the first result of Landesman-Lazer type
Electronic Journal of Differential Equations, 2000 We discuss some results concerning periodic and almot periodic solutions of ordinary differential equations which are precursors of a result on weak solutions of a semilinear elliptic boundary due to E. M. Landesman and the author. It is observed that in
Alan C. Lazer
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Semilinear elliptic equations with dependence on the gradient
Electronic Journal of Differential Equations, 2012 In this article we consider elliptic equations whose nonlinear term depends on the gradient of the unknown. We assume that the nonlinearity has a asymptotically linear growth at zero and at infinity with respect to the second variable.
Guanggang Liu, Shaoyun Shi, Yucheng Wei
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Solution surfaces for semilinear elliptic equations on rotated domains [PDF]
, 1999 Seth Armstrong, Renate Schaaf
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Bifurcations for semilinear elliptic equations with convex nonlinearity
Electronic Journal of Differential Equations, 1999 We investigate the exact number of positive solutions of the semilinear Dirichlet boundary value problem $Delta u+f(u) = 0$ on a ball in ${mathbb R}^n$ where $f$ is a strictly convex $C^2$ function on $[0,infty)$. For the one-dimensional case we classify
J. Karatson, Peter L. Simon
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On the Normal Stability of Triharmonic Hypersurfaces in Space Forms. [PDF]
J Geom Anal, 2023 Branding V.
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Existence of bounded solutions for semilinear degenerate elliptic equations with absorption term [PDF]
, 1998 Toshio Horiuchi
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Overcoming the curse of dimensionality in the numerical approximation of semilinear parabolic partial differential equations. [PDF]
Proc Math Phys Eng Sci, 2020 Hutzenthaler M +4 more
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