Results 21 to 30 of about 75,181 (273)
Semilinear problems with bounded nonlinear term
Boundary Value Problems, 2005 We solve boundary value problems for elliptic semilinear equations in which no asymptotic behavior is prescribed for the nonlinear term.
Martin Schechter
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A remark on partial data inverse problems for semilinear elliptic equations [PDF]
Proceedings of the American Mathematical Society, 2019 We show that the knowledge of the Dirichlet-to-Neumann map on an arbitrary open portion of the boundary of a domain in $\mathbb{R}^n$, $n\ge 2$, for a class of semilinear elliptic equations, determines the nonlinearity uniquely.
Katya Krupchyk, G. Uhlmann
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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 \[
Patricio Felmer, Manuel del Pino
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Partial data inverse problems and simultaneous recovery of boundary and coefficients for semilinear elliptic equations [PDF]
Revista matemática iberoamericana, 2019 We study various partial data inverse boundary value problems for the semilinear elliptic equation $\Delta u+ a(x,u)=0$ in a domain in $\mathbb R^n$ by using the higher order linearization technique introduced in [LLS 19, FO19].
M. Lassas +3 more
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Infinitely many sign-changing solutions for a semilinear elliptic equation with variable exponent
AIMS Mathematics, 2021 This paper is devoted to study a class of semilinear elliptic equations with variable exponent. By means of perturbation technique, variational methods and a priori estimation, the existence of infinitely many sign-changing solutions to this class of ...
Changmu Chu, Yuxia Xiao , Yanling Xie
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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 ...
Andrzej Szulkin, Nils Ackermann
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Partial data inverse problems for semilinear elliptic equations with gradient nonlinearities [PDF]
Mathematical Research Letters, 2019 We show that the linear span of the set of scalar products of gradients of harmonic functions on a bounded smooth domain $\Omega\subset \mathbb{R}^n$ which vanish on a closed proper subset of the boundary is dense in $L^1(\Omega)$.
Katya Krupchyk, G. Uhlmann
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2010 The basic boundary value problems for semilinear equations of elliptic type with a spectral parameter and discontinuous nonlinearity are considered in a bounded domain with a sufficiently smooth boundary.
Dmitrij К Potapov
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Classification and Liouville-type theorems for semilinear elliptic equations in unbounded domains [PDF]
Analysis & PDE, 2019 We classify stable and finite Morse index solutions to general semilinear elliptic equations posed in Euclidean space of dimension at most 10, or in some unbounded domains.
L. Dupaigne, A. Farina
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On Singular Semilinear Elliptic Equations [PDF]
Journal of Mathematical Analysis and Applications, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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