Results 101 to 110 of about 376,175 (295)
The existence of bounded solutions of a semilinear elliptic equation
Journal of Differential Equations, 1989 On etudie l'existence de la solution non constante bornee de l'equation differentielle ΔW-y. ⊇W/2+/W/ P−1 -W -W/(p-1)=0 dans R n , n2 avec pp c ou P c =(n+2)/(n-2) est l'exposant de l'espace de Sobolev critique pour R ...
Yuanwei Qi, Chris Budd
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Computation of radial solutions of semilinear equations
Electronic Journal of Qualitative Theory of Differential Equations, 2007 We express radial solutions of semilinear elliptic equations on $R^n$ as convergent power series in $r$, and then use Pade approximants to compute both ground state solutions, and solutions to Dirichlet problem.
Philip Korman
doaj +1 more source
The critical semilinear elliptic equation with isolated boundary singularities [PDF]
J. Differential Equations 263(2017), 1907-1930, 2017 We establish quantitative asymptotic behaviors for nonnegative solutions of the critical semilinear equation $-\Delta u=u^{\frac{n+2}{n-2}}$ with isolated boundary singularities, where $n\ge 3$ is the dimension.
arxiv
Sub-supersolution theorems for quasilinear elliptic problems: A variational approach
Electronic Journal of Differential Equations, 2004 This paper presents a variational approach to obtain sub - supersolution theorems for a certain type of boundary value problem for a class of quasilinear elliptic partial differential equations.
Vy Khoi Le, Klaus Schmitt
doaj
Oscillatory Radial Solutions of Semilinear Elliptic Equations
Journal of Mathematical Analysis and Applications, 1997 We study the oscillatory behavior of radial solutions of the nonlinear partial differential equation Δu + f(u) + g(|x|, u) = 0 inRn, where f and g are continuous restoring functions, uf(u) > 0 and ug(|x|, u) > 0 for u ≠ 0. We assume that for fixedq limu → 0(|f(u)|/|u|q) = B > 0, for 1 < q < n/(n − 2), and, additionally, that 2F(u) ≥ (1 − 2/n)uf(u) when
Shaohua Chen +2 more
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On semilinear elliptic equations with global coupling [PDF]
arXiv, 2008 We consider nonlinear elliptic equations which contains global coupling as a nonlinear term. We classify the existence of all possible positive solutions to this problem.
arxiv
A Liouville theorem for a class semilinear elliptic equations on the Heisenberg group [PDF]
Advances in Mathematics, 2020 Xinan Ma, Qianzhong Ou
semanticscholar +1 more source
Diffusion versus absorption in semilinear elliptic equations
Journal of Mathematical Analysis and Applications, 2009 AbstractWe study the limit behaviour of a sequence of singular solutions of a nonlinear elliptic equation with a strongly degenerate absorption term at the boundary of the domain. We give sharp conditions on the rate of degeneracy in terms of the distance to the boundary in order the pointwise singularity not to propagate along the boundary.
Shishkov, Andrey, Veron, Laurent
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Some existence results of semilinear elliptic equations [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 1995 We are concerned with the existence of positive solutions for equations of the form (1), defined in IRN and in IRN −{0}. We give a unified treatment of the problems studied before by others authors.
H. SOTO, C.S. YARUR
doaj
Positive solutions of Robin problem for semilinear elliptic equations and a threshold result [PDF]
arXiv, 2010 In this paper, we prove a threshold result for the Robin problem of semilinear parabolic ...
arxiv