Results 31 to 40 of about 93,033 (295)
On the existence of multiple positive entire solutions for a class of quasilinear elliptic equations
International Journal of Mathematics and Mathematical Sciences, 2006 Our goal is to establish the theorems of existence and multiple of positive entire solutions for a class quasilinear elliptic equations in ℝN with the Schauder-Tychonoff fixed point theorem as the principal tool.
Yang Zuodong
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A new proof of the boundedness results for stable solutions to semilinear elliptic equations [PDF]
Discrete and Continuous Dynamical Systems. Series A, 2019 We consider the class of stable solutions to semilinear equations $-\Delta u=f(u)$ in a bounded smooth domain of $\mathbb{R}^n$. Since 2010 an interior a priori $L^\infty$ bound for stable solutions is known to hold in dimensions $n \leq 4$ for all $C^1$
X. Cabré
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Multiple solutions for a semilinear elliptic equation [PDF]
Transactions of the American Mathematical Society, 1995 Let Ω \Omega be a bounded, smooth domain in R N {\mathbb {R}^N} , N ⩾ 1 N \geqslant 1 . We consider the problem of finding nontrivial solutions to the elliptic boundary value problem \[
del Pino, Manuel A., Felmer, Patricio L.
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Analysis of control problems of nonmontone semilinear elliptic equations [PDF]
, 2019 In this paper we study optimal control problems governed by a semilinear elliptic equation. The equation is nonmonotone due to the presence of a convection term, despite the monotonocity of the nonlinear term.
E. Casas, M. Mateos, A. Rösch
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On the exact multiplicity of stable ground states of non-Lipschitz semilinear elliptic equations for some classes of starshaped sets [PDF]
Advances in Nonlinear Analysis, 2018 We prove the exact multiplicity of flat and compact support stable solutions of an autonomous non-Lipschitz semilinear elliptic equation of eigenvalue type according to the dimension N and the two exponents, 0 < α < β < 1, of the involved nonlinearites ...
J. Díaz +2 more
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Risks, 2020 In insurance mathematics, optimal control problems over an infinite time horizon arise when computing risk measures. An example of such a risk measure is the expected discounted future dividend payments.
Stefan Kremsner +2 more
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Barekeng, 2023 Let be a bounded open subset of , , be a function in Stummel classes , where , and be a semilinear monotone elliptic equation, where is symmetric matrix, elliptic, bounded, and is non decreasing and Lipschitz. By proving a weighted estimation for
Nicky Kurnia Tumalun
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Weak solutions of semilinear elliptic equations with Leray-Hardy potentials and measure data [PDF]
Mathematics in Engineering, 2019 We study existence and stability of solutions of (E 1) −∆u + µ |x| 2 u + g(u) = ν in Ω, u = 0 on ∂Ω, where Ω is a bounded, smooth domain of R N , N ≥ 2, containing the origin, µ ≥ − (N −2) 2 4 is a constant, g is a nondecreasing function satisfying some ...
L. Véron, Huyuan Chen
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SEMILINEAR ELLIPTIC EQUATIONS IN UNBOUNDED SYMMETRIC DOMAINS
Taiwanese Journal of Mathematics, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tzeng, Shyuh-yaur, Wang, Hwai-chiuan
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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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