Results 41 to 50 of about 394,604 (313)
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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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
semanticscholar +1 more source
On a semilinear elliptic equation with inverse-square potential [PDF]
Selecta Mathematica, 2005 We study the existence and nonexistence of solutions to a semilinear elliptic equation with inverse-square potential. The dividing line with respect to existence or nonexistence is given by a critical exponent, which depends on the strength of the potential.
Alberto Tesei +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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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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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-
Bidaut-Veron, Marie-Françoise +2 more
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Semilinear elliptic equations with Hardy potential and gradient nonlinearity [PDF]
Revista matemática iberoamericana, 2019 Let $\Omega \subset {\mathbb R}^N$ ($N \geq 3$) be a $C^2$ bounded domain and $\delta$ be the distance to $\partial \Omega$. We study positive solutions of equation (E) $-L_\mu u+ g(|\nabla u|) = 0$ in $\Omega$ where $L_\mu=\Delta + \frac{\mu}{\delta^2} $
K. Gkikas, P. Nguyen
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Semilinear elliptic equations on rough domains
Journal of Differential Equations, 2023 39 ...
Wolfgang Arendt, Daniel Daners
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On a semilinear elliptic equation in Hn
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2009 We prove existence/nonexistence and uniqueness of positive entire solutions for some semilinear elliptic equations on the Hyperbolic space.
Gianni Mancini, K. Sandeep
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