On the symmetry of minimizers in constrained quasi-linear problems

@inproceedings{Squassina2010OnTS,
  title={On the symmetry of minimizers in constrained quasi-linear problems},
  author={Marco Squassina},
  year={2010}
}
Abstract We provide a simple proof of the radial symmetry of any nonnegative minimizer for a general class of quasi-linear minimization problems. 
On a bifurcation value related to quasi-linear Schrödinger equations
By virtue of numerical arguments we study a bifurcation phenomenon occurring for a class of minimization problems associated with the so-called quasi-linear Schrödinger equation, object of various
Symmetry and monotonicity of least energy solutions
We give a simple proof of the fact that for a large class of quasilinear elliptic equations and systems the solutions that minimize the corresponding energy in the set of all solutions are radially

References

SHOWING 1-10 OF 33 REFERENCES
On the Symmetry of Minimizers
For a large class of variational problems we prove that minimizers are symmetric whenever they are C1.
An approach to minimization under a constraint: the added mass technique
For a class of minimization problems, where the functionals are weakly lower semicontinuous, we present, through the treatment of some semi-linear or quasi-linear type problems, techniques to show
Nonsymmetric ground states of symmetric variational problems
In this paper we study a minimization problem which is invariant by rotation. The corresponding Euler-Lagrange equations are semilinear elliptic equations in an exterior domain with Neumann boundary
Minimal rearrangements of Sobolev functions: a new proof
Symmetry and related properties via the maximum principle
We prove symmetry, and some related properties, of positive solutions of second order elliptic equations. Our methods employ various forms of the maximum principle, and a device of moving parallel
Symmetrization and minimax principles
We develop a method to prove that some critical levels for functionals invariant by symmetry obtained by minimax methods without any symmetry constraint are attained by symmetric critical points. It
Strong convergence results related to strict convexity
Let Ωbe endowed with a σ—, complete measure and let weakly in . If u(x) is an external point of the closed convex hull of a.e. in Ω, then strongly in cannot oscillate around u(x). Other strong
Isoperimetric inequalities in mathematical physics
The description for this book, Isoperimetric Inequalities in Mathematical Physics. (AM-27), will be forthcoming.
...
...