Results 51 to 60 of about 92,595 (298)
On Singular Semilinear Elliptic Equations
Journal of Mathematical Analysis and Applications, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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, 2015 We generalize the notion of renormalized solution to semilinear elliptic and parabolic equations involving operator associated with general (possibly nonlocal) regular Dirichlet form and smooth measure on the right-hand side.
Klimsiak, Tomasz, Rozkosz, Andrzej
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Some maximum principles for solutions of a class of partial differential equations in Ω⊂ℝn
International Journal of Mathematics and Mathematical Sciences, 2000 We find maximum principles for solutions of semilinear elliptic partial differential equations of the forms: (1) Δ2u+αf(u)=0, α∈ℝ+ and (2) ΔΔu+α(Δu)k+gu=0, α≤0 in some region Ω⊂ℝn.
Mohammad Mujalli Al-Mahameed
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Pointwise decay and smoothness for semilinear elliptic equations and travelling waves
, 2015 We derive sharp decay estimates and prove holomorphic extensions for the solutions of a class of semilinear nonlocal elliptic equations with linear part given by a sum of Fourier multipliers with finitely smooth symbols at the origin.
Cappiello, Marco, Nicola, Fabio
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Analysis of Optimal Control Problems of Semilinear Elliptic Equations by BV-Functions [PDF]
Set-Valued and Variational Analysis, 2017 Optimal control problems for semilinear elliptic equations with control costs in the space of bounded variations are analysed. BV-based optimal controls favor piecewise constant, and hence ’simple’ controls, with few jumps. Existence of optimal controls,
E. Casas, K. Kunisch
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On Uniqueness of Boundary Blow-up Solutions of a Class of Nonlinear Elliptic Equations
, 2007 We study boundary blow-up solutions of semilinear elliptic equations $Lu=u_+^p$ with $p>1$, or $Lu=e^{au}$ with $a>0$, where $L$ is a second order elliptic operator with measurable coefficients.
Bandle C. +14 more
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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-
Ponce, Augusto +2 more
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Regularity of radial stable solutions to semilinear elliptic equations for the fractional Laplacian [PDF]
, 2018 We study the regularity of stable solutions to the problem $$ \left\{ \begin{array}{rcll} (-\Delta)^s u &=& f(u) & \text{in} \quad B_1\,, u &\equiv&0 & \text{in} \quad \mathbb R^n\setminus B_1\,, \end{array} \right. $$ where $s\in(0,1)$.
Sanz-Perela, Tomás
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Electronic Journal of Qualitative Theory of Differential EquationsIn this paper, we are devoted to establishing that the existence of positive solutions for a class of generalized quasilinear elliptic equations in $\mathbb{R}^{N}$ with Sobolev critical growth, which have appeared from plasma physics, as well as high ...
Nian Zhang, Chuchu Liang
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, 2011 The asymptotic behavior of solutions to Schr\"odinger equations with singular homogeneous potentials is investigated. Through an Almgren type monotonicity formula and separation of variables, we describe the exact asymptotics near the singularity of ...
Felli, Veronica +2 more
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