A class of nonlocal coupled semilinear parabolic system with nonlocal boundaries. [PDF]
ScientificWorldJournal, 2014 Liu H, Lu H.
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Monotonicity and Symmetry of Nonnegative Solutions to -Δ u=f(u) in Half-Planes and Strips. [PDF]
Adv Nonlinear Stud, 2017 Farina A, Sciunzi B.
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Revealing new dynamical patterns in a reaction-diffusion model with cyclic competition via a novel computational framework. [PDF]
Proc Math Phys Eng Sci, 2018 Cangiani A +3 more
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ADAPTIVE FINITE ELEMENT MODELING TECHNIQUES FOR THE POISSON-BOLTZMANN EQUATION. [PDF]
Commun Comput Phys, 2012 Holst M +4 more
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Time optimal controls of the linear Fitzhugh-Nagumo equation with pointwise control constraints.
J Math Anal Appl, 2012 Kunisch K, Wang L.
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On the Existence of Positive Solutions of Semilinear Elliptic Equations
SIAM Review, 1982In this paper we study the existence of positive solutions of semilinear elliptic equations. Various possible behaviors of nonlinearity are considered, and in each case nearly optimal multiplicity results are obtained. The results are also interpreted in terms of bifurcation diagrams.
P L Lions
exaly +3 more sources
Semilinear Elliptic Equations with Singularity on the Boundary
Journal of Partial Differential Equations, 2002This paper is devoted to the semilinear elliptic problem \[ \begin{cases} -\Delta u=K(x) \bigl(1-|x|\bigr)^{-\lambda} u^q,\quad & x\in B,\\ u(x)>0, \quad & x\in B,\\ u(x)=0, \quad & x\in\partial B,\end{cases} \tag{1} \] where \(\lambda >0\), \(q>1\) and \(K(x)\) is a given nonnegative \(\alpha\)-Hölder continuous function on \(\overline B\).
Zeng, Youdong, Chen, Zuchi
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G-convergence and semilinear elliptic equations
Asymptotic Analysis, 1991We study the behavior of positive solutions of semilinear elliptic equations −div(a ε (x)Du ε =g(u ε ) with homogeneous Dirichlet boundary data, with respect to the G-convergence of the elliptic matrices a
DALL'AGLIO, Andrea, TCHOU N. A.
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Asymptotic properties of semilinear elliptic equations
Funkcialaj Ekvacioj, 1983Semilinear elliptic equations of the type (1) \(\Delta u+f(x,u)=0\) are considered in exterior domains \(\Omega \subset {\mathbb{R}}^ n\), \(n\geq 2\), where \(\Delta\) denotes the n-dimensional Laplacian and f is locally Hölder continuous in \(\Omega \times {\mathbb{R}}^+\).
Kusano, Takaŝi, Swanson, A. Charles
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On some Semilinear Elliptic Equations
AIP Conference Proceedings, 2009In this paper we study the third type boundary value problem for a Semilinear Elliptic Equation. Here the existence of the weak solution for the considered problem is proved and also the uniqueness of the solution of the considered problem, in a model case, is proved.
Kerime Kalli +4 more
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