Results 21 to 30 of about 358 (54)

Existence of Ground States of Fractional Schrödinger Equations

Advanced Nonlinear Studies, 2021
We consider ground states of the nonlinear fractional Schrödinger equation with ...
Ma Li, Li Zhenxiong
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Simple partially invariant solutions

Ufimskii Matematicheskii Zhurnal, 2019
The continuous medium models of hydrodynamic type admit 11th dimensional Lie algebra of Galilean group enlarged by uniform dilatation of all independent variables. All subalgebras of this Lie algebra are listed up to inner automorphisms.
S. Khabirov
semanticscholar   +1 more source

Two optimization problems in thermal insulation [PDF]

, 2017
We consider two optimization problems in thermal insulation: in both cases the goal is to find a thin layer around the boundary of the thermal body which gives the best insulation. The total mass of the insulating material is prescribed..
Bucur, Dorin, Buttazzo, Giuseppe, Nitsch, Carlo   +2 more
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The Moving Plane Method for Doubly Singular Elliptic Equations Involving a First-Order Term

Advanced Nonlinear Studies, 2021
In this paper we deal with positive singular solutions to semilinear elliptic problems involving a first-order term and a singular nonlinearity. Exploiting a fine adaptation of the well-known moving plane method of Alexandrov–Serrin and a careful choice ...
Esposito Francesco, Sciunzi Berardino
doaj   +1 more source

On the symmetry of minimizers in constrained quasi-linear problems [PDF]

, 2010
We provide a simple proof of the radial symmetry of any nonnegative minimizer for a general class of quasi-linear minimization problems.Comment: 18 ...
Squassina, Marco
core   +1 more source

Qualitative properties of solutions to mixed-diffusion bistable equations [PDF]

, 2016
We consider a fourth-order extension of the Allen-Cahn model with mixed-diffusion and Navier boundary conditions. Using variational and bifurcation methods, we prove results on existence, uniqueness, positivity, stability, a priori estimates, and ...
Alberto, Saldaña, Bonheure, Denis, Juraj, Földes   +2 more
core   +4 more sources

Asymptotic analysis and sign changing bubble towers for Lane-Emden problems [PDF]

, 2014
We consider the semilinear Lane-Emden problem in a smooth bounded domain of the plane. The aim of the paper is to analyze the asymptotic behavior of sign changing solutions as the exponent p of the nonlinearity goes to infinity.
De Marchis, Francesca, Ianni, Isabella, Pacella, Filomena   +2 more
core   +1 more source

Nonexistence Results for Semilinear Equations in Carnot Groups

Analysis and Geometry in Metric Spaces, 2013
In this paper, following [3], we provide some nonexistence results for semilinear equations in the the class of Carnot groups of type ★.This class, see [20], contains, in particular, all groups of step 2; like the Heisenberg group, and also Carnot ...
Ferrari Fausto, Pinamonti Andrea
doaj   +1 more source

Symbolic computation of optimal systems of subalgebras of three- and four-dimensional real Lie algebras [PDF]

Open Communications in Nonlinear Mathematical Physics
The complete optimal systems of subalgebras of all nonisomorphic three- and four-dimensional real Lie algebras are analyzed by the program \symbolie running in the computer algebra system \emph{Wolfram Mathematica}\texttrademark.
Luca Amata, Francesco Oliveri, Emanuele Sgroi   +2 more
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GROUP FOLIATION OF DIFFERENTIAL EQUATIONS USING MOVING FRAMES

Forum of Mathematics, Sigma, 2015
We incorporate the new theory of equivariant moving frames for Lie pseudogroups into Vessiot’s method of group foliation of differential equations. The automorphic system is replaced by a set of reconstruction equations on the pseudogroup jets.
ROBERT THOMPSON, FRANCIS VALIQUETTE
doaj   +1 more source