Results 11 to 20 of about 2,254 (236)
Existence of nontrivial solutions for semilinear problems with strictly differentiable nonlinearity [PDF]
, 2006 The existence of a nontrivial solution for semilinear elliptic problems with strictly differentiable nonlinearity is proved. A result of homological linking under nonstandard geometrical assumption is also shown.
Lancelotti, Sergio, Sergio Lancelotti
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Inhomogeneous parabolic equations on unbounded metric measure spaces [PDF]
, 2012 We study the inhomogeneous semilinear parabolic equation ut = Δu + up + f(x), with source term f independent of time and subject to f(x) ≥ 0 and with u(0, x) = φ(x) ≥ 0, for the very general setting of a metric measure space. By establishing Harnack-type
Hu, Jiaxin +5 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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On the Cauchy problem for a semilinear fractional elliptic equation [PDF]
Applied Mathematics Letters, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nguyen Huy Tuan +3 more
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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 and fixed points [PDF]
Proceedings of the American Mathematical Society, 2004 In this paper, we deal with a class of semilinear elliptic equation in a bounded domain $Ω\subset\mathbb{R}^N$, $N\geq 3$, with $C\sp{1,1}$ boundary. Using a new fixed point result of the Krasnoselskii's type for the sum of two operators, an existence principle of strong solutions is proved. We give two examples where the nonlinearity can be critical.
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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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Isolated boundary singularities of semilinear elliptic equations [PDF]
Calculus of Variations and Partial Differential Equations, 2010 Given a smooth domain $Ω\subset\RR^N$ such that $0 \in \partialΩ$ and given a nonnegative smooth function $ζ$ on $\partialΩ$, we study the behavior near 0 of positive solutions of $-Δu=u^q$ in $Ω$ such that $u = ζ$ on $\partialΩ\setminus\{0\}$. 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-1 ...
Ponce, Augusto +2 more
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Higher order energy expansions for some singularly perturbed Neumann problems [PDF]
, 2003 We consider the following singularly perturbed semilinear elliptic problem: \epsilon^{2} \Delta u - u + u^p=0 \ \ \mbox{in} \ \Omega, \quad u>0 \ \ \mbox{in} \ \ \Omega \quad \mbox{and} \ \frac{\partial u}{\partial \nu} =0 \ \mbox{on} \ \partial \
Winter, M +5 more
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