Results 121 to 130 of about 1,398 (233)

An approximation theorem for solutions of degenerate semilinear elliptic equations [PDF]

, 2017
The main result establishes that a weak solution of degenerate semilinear elliptic equations can be approximated by a sequence of solutions for non-degenerate semilinear elliptic equations.
Albo Carlos Cavalheiro, Cavalheiro, Albo Carlos   +1 more
core   +1 more source

On the solution stability of parabolic optimal control problems. [PDF]

Comput Optim Appl, 2023
Corella AD, Jork N, Veliov VM.
europepmc   +1 more source

On The Two Dimensional Gierer-Meinhardt system with strong coupling

, 1999
We construct solutions with a single interior condensation point for the two-dimensional Gierer-Meinhardt system with strong coupling. The condensation point is located at a nondegenerate critical point of the diagonal part of the regular part
Winter, M, Juncheng Wei, Matthias Winter, Wei, J   +3 more
core  

Existence and multiplicity of solutions for a singular semilinear elliptic problem in R^2

Electronic Journal of Differential Equations, 2011
Using minimax methods we study the existence and multiplicity of nontrivial solutions for a singular class of semilinear elliptic nonhomogeneous equation where the potentials can change sign and the nonlinearities may be unbounded in $x$ and behaves ...
Manasses de Souza
doaj  

On a Cubic-Quintic Ginzburg-Landau Equation with Global Coupling

, 2005
We study standing wave solutions in a Ginzburg-Landau equation which consists of a cubic-quintic equation stabilized by global coupling A_t= \Delta A +\mu A + c A^3 -A^5 -k A (\int_{R^n} A^2\,dx).
Winter, M, Wei, J
core  

Método da energia no espaço de fourier para equações de evolução em Rn com dissipação fracionária [PDF]

, 2013
Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas, Programa de Pós-graduação em Matemática e Computação Científica, Florianópolis, 2013Neste trabalho estudamos o problema de Cauchy em R^n para três ...
Gauer, Maíra Fernandes
core  

Standing Waves in the FitzHugh-Nagumo System and a Problem in Combinatorial Geometry

, 2006
We show that there is a close relation between standing-wave solutions for the FitzHugh-Nagumo system \[ \Delta u +u(u-a)(1-u) - \delta v=0, \ \ \Delta v-\delta \gamma v + u=0 \ \ \mbox{in} \ R^N,\] \[ u, v \to 0 \ \mbox{as} \ |x| \to +\infty ...
Winter, M, Juncheng Wei, Matthias Winter, Wei, J   +3 more
core   +1 more source

On a semilinear elliptic equation with inverse-square potential

, 2005
We study the existence and nonexistence of solutions to a semilinear elliptic equation with inverse-square potential. The dividing line with respect to existence or nonexistence is given by a critical exponent, which depends on the strength of the ...
Haïm Brezis, Dupaigne, L., Brezis, Haïm, TESEI, Alberto, Tesei, A., Louis Dupaigne   +5 more
core   +1 more source

EXISTENCE OF A STEADY FLOW WITH A BOUNDED VORTEX IN AN UNBOUNDED DOMAIN [PDF]

Journal of Sciences, Islamic Republic of Iran, 2001
We prove the existence of steady 2-dimensional flows, containing a bounded vortex, and approaching a uniform flow at infinity. The data prescribed is the rearrangement class of the vorticity field. The corresponding stream function satisfies a semilinear
doaj  

On Existence of Solution for a Class of Semilinear Elliptic Equations with Nonlinearities That Lies between Different Powers

Abstract and Applied Analysis, 2008
We prove that the semilinear elliptic equation −Δu=f(u), in Ω, u=0, on ∂Ω has a positive solution when the nonlinearity f belongs to a class which satisfies μtq≤f(t)≤Ctp at infinity and behaves like tq near the origin, where ...
Claudianor O. Alves, Marco A. S. Souto
doaj   +1 more source