Results 21 to 30 of about 348 (55)

Two optimization problems in thermal insulation [PDF]

open access: yes, 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   +2 more
core   +2 more sources

The Moving Plane Method for Doubly Singular Elliptic Equations Involving a First-Order Term

open access: yesAdvanced 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

Simple partially invariant solutions

open access: yesUfimskii 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

The Soap Bubble Theorem and a $p$-Laplacian overdetermined problem [PDF]

open access: yes, 2019
We consider the $p$-Laplacian equation $-\Delta_p u=1$ for ...
Colasuonno, Francesca, Ferrari, Fausto
core   +2 more sources

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

open access: yes, 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

A note on the complete rotational invariance of biradial solutions to semilinear elliptic equations [PDF]

open access: yes, 2010
We investigate symmetry properties of solutions to equations of the form $$ -\Delta u = \frac{a}{|x|^2} u + f(|x|, u)$$ in R^N for $N \geq 4$, with at most critical nonlinearities.
Abatangelo, L., Terracini, S.
core   +1 more source

On a result by Boccardo-Ferone-Fusco-Orsina

open access: yes, 2011
Via a symmetric version of Ekeland's principle recently obtained by the author we improve, in a ball or an annulus, a result of Boccardo-Ferone-Fusco-Orsina on the properties of minimizing sequences of functionals of calculus of variations in the non ...
Squassina, Marco
core   +1 more source

Nonexistence Results for Semilinear Equations in Carnot Groups

open access: yesAnalysis 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

GROUP FOLIATION OF DIFFERENTIAL EQUATIONS USING MOVING FRAMES

open access: yesForum 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

A symmetry result for cooperative elliptic systems with singularities [PDF]

open access: yes, 2019
We obtain symmetry results for solutions of an elliptic system of equation possessing a cooperative structure. The domain in which the problem is set may possess "holes" or "small vacancies" (measured in terms of capacity) along which the solution may ...
Biagi, Stefano   +2 more
core   +2 more sources

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