Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters
Global solutions and finite time blow up for damped semilinear wave equations
Weak solutions of quasilinear elliptic PDE's at resonance
Convex shape optimization for the least biharmonic Steklov eigenvalue
The least Steklov eigenvalue for the biharmonic operator in bounded domains gives a bound for the positivity preserving property for the hinged plate problem, appears as a norm of a suitable trace operator, and gives the optimal constant to estimate the -norm of harmonic functions. These applications suggest to address the problem of minimizing in suitable classes of domains. We survey the existing results and conjectures about this topic; in particular,...
Existence and nonexistence results for anisotropic quasilinear elliptic equations
Minimization properties of Hill's orbits and applications to some N-body problems
Positive solutions of critical quasilinear elliptic problems in general domains.
Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters, part II
Existence results for a fourth order partial differential equation arising in condensed matter physics
We study a higher order parabolic partial differential equation that arises in the context of condensed matter physics. It is a fourth order semilinear equation which nonlinearity is the determinant of the Hessian matrix of the solution. We consider this model in a bounded domain of the real plane and study its stationary solutions both when the geometry of this domain is arbitrary and when it is the unit ball and the solution is radially symmetric. We also consider the initial-boundary value problem...
Some remarks on biharmonic elliptic problems with positive, increasing and convex nonlinearities.
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