Results 81 to 90 of about 15,562 (203)
Large solutions of semilinear elliptic equations with nonlinear gradient terms
International Journal of Mathematics and Mathematical Sciences, 1999 We show that large positive solutions exist for the equation (P±):Δu±|∇u|q=p(x)uγ in Ω⫅RN(N≥3) for appropriate choices of γ>1,q>0 in which the domain Ω is either bounded or equal to RN.
Alan V. Lair, Aihua W. Wood
doaj +1 more source
Ground states of semilinear elliptic equations
, 2020 Comments are ...
Caju, Rayssa +3 more
openaire +2 more sources
A Liouville theorem for ancient solutions to a semilinear heat equation and its elliptic counterpart
, 2020 We establish the nonexistence of nontrivial ancient solutions to the nonlinear heat equation $u_t=\Delta u+|u|^{p-1}u$ which are smaller in absolute value than the self-similar radial singular steady state, provided that the exponent $p$ is strictly ...
Sourdis, Christos
core
Isolated singularity for semilinear elliptic equations
Discrete & Continuous Dynamical Systems - A, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wei, Lei, Feng, Zhaosheng
openaire +2 more sources
Concentration and dynamic system of solutions for semilinear elliptic equations
Electronic Journal of Differential Equations, 2003 In this article, we use the concentration of solutions of the semilinear elliptic equations in axially symmetric bounded domains to prove that the equation has three positive solutions. One solution is y-symmetric and the other are non-axially symmetric.
Tsung-fang Wu
doaj
Abstract and Applied Analysis, 2011 Existence and multiplicity of positive solutions for the following semilinear elliptic equation: −Δ𝑢+𝑢=𝑎(𝑥)|𝑢|𝑝−2𝑢+𝜆𝑏(𝑥)|𝑢|𝑞−2𝑢 in ℝ𝑁, 𝑢∈𝐻1(ℝ𝑁), are established, where 𝜆>0 ...
Tsing-San Hsu
doaj +1 more source
Symmetry breaking and semilinear elliptic equations
Journal of Computational and Applied Mathematics, 1989 Symmetry breaking bifurcations (SBB's) are studied which occur on the radially symmetric solution branches of the semilinear elliptic equation \(\Delta u+\lambda f(u)=0\) on the unit ball in the space \(R^ 3\). A general theory is developed which permits a straightforward calculation of the SBB's.
openaire +2 more sources
The Topological State Derivative: An Optimal Control Perspective on Topology Optimisation. [PDF]
J Geom Anal, 2023 Baumann P, Mazari-Fouquer I, Sturm K.
europepmc +1 more source
An inverse boundary-value problem for semilinear elliptic equations
Electronic Journal of Differential Equations, 2010 We show that in dimension two or greater, a certain equivalence class of the scalar coefficient $a(x,u)$ of the semilinear elliptic equation $Delta u,+a(x,u)=0$ is uniquely determined by the Dirichlet to Neumann map of the equation on a bounded ...
Ziqi Sun
doaj
Karpatsʹkì Matematičnì Publìkacìï, 2018 A homogeneous Dirichlet problem for a semilinear elliptic equations with the Laplace operator and Helmholtz operator is investigated. To construct the two-sided approximations to a positive solution of this boundary value problem the transition to an ...
M.V. Sidorov
doaj +1 more source