Results 11 to 20 of about 16,726 (202)
Isolated boundary singularities of semilinear elliptic equations [PDF]
Calculus of Variations and Partial Differential Equations, 2010 Given a smooth domain $ \subset\RR^N$ such that $0 \in \partial $ and given a nonnegative smooth function $ $ on $\partial $, we study the behavior near 0 of positive solutions of $- u=u^q$ in $ $ such that $u = $ on $\partial \setminus\{0\}$. We prove that if $\frac{N+1}{N-1} < q < \frac{N+2}{N-2}$, then $u(x)\leq C \abs{x}^{-\frac{2}{q-
Ponce, Augusto +2 more
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Uniqueness of positive solutions to semilinear elliptic equations with double power nonlinearities [PDF]
, 2008 We consider semilinear elliptic equations with double power nonlineaities. The condition to assure the existence of positive solutions is well-known. In the present paper, we remark that the additional condition to assure uniqueness proposed by Ouyang ...
Kawano, Shinji
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Semilinear elliptic equations and supercritical growth
Journal of Differential Equations, 1987 \textit{H. Brezis} and \textit{L. Nirenberg} have proved the existence of positive solutions of the problem \(\Delta \tilde u+\lambda \tilde u+\tilde u^ p=0\) in \(\Omega\) and \(\tilde u=0\) on \(\partial \Omega\) for \(p\leq p_ c=(n+2)/(n-2)\), when the embedding of \(H^ 1_ 0(\Omega)\) in \(L^{p+1}(\Omega)\) is continuous [Commun. Pure Appl. Math. 36,
Budd, C, Norbury, J
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A Concentration Phenomenon for Semilinear Elliptic Equations [PDF]
Archive for Rational Mechanics and Analysis, 2012 For a domain $ \subset\dR^N$ we consider the equation $ - u + V(x)u = Q_n(x)\abs{u}^{p-2}u$ with zero Dirichlet boundary conditions and $p\in(2,2^*)$. Here $V\ge 0$ and $Q_n$ are bounded functions that are positive in a region contained in $ $ and negative outside, and such that the sets $\{Q_n>0\}$ shrink to a point $x_0\in $ as $n\to\infty ...
Ackermann, Nils, Szulkin, Andrzej
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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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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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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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Journal of Function Spaces, 2020 In this paper, we study multiplicity of positive solutions for a class of semilinear elliptic equations with the nonlinearity containing singularity and Hardy-Sobolev exponents.
Yong-Yi Lan, Xian Hu, Bi-Yun Tang
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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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