Oblique derivative problems for elliptic systems of second order equations in infinite domains.
On a class of elliptic systems in .
On a class of graphs with perscribed mean curvature.
On a class of Monge-Ampére problems with non-homogeneous Dirichlet boundary condition.
On a class of Monge-Ampère type equations with lower order terms
We prove some comparison results for Monge-Ampère type equations in dimension two. We consider also the case of eigenfunctions and we prove a kind of reverse inequalities.
On a class of non linear Schrödinger equations. III. Special theories in dimensions 1, 2 and 3
On a class of nonlinear ellipticequations in Hilbert spaces
We consider elliptic nonlinear equations in a separable Hilbert space and their solutions in spaces of Sobolev type.
On a class of nonlinear problems involving a -Laplace type operator
We study the boundary value problem in , on , where is a smooth bounded domain in . Our attention is focused on two cases when , where for any or for any . In the former case we show the existence of infinitely many weak solutions for any . In the latter we prove that if is large enough then there exists a nontrivial weak solution. Our approach relies on the variable exponent theory of generalized Lebesgue-Sobolev spaces, combined with a -symmetric version for even functionals...
On a class of nonlocal problem involving a critical exponent
In this work, by using the Mountain Pass Theorem, we give a result on the existence of solutions concerning a class of nonlocal -Laplacian Dirichlet problems with a critical nonlinearity and small perturbation.
On a class of semilinear elliptic equations with boundary conditions and potentials which change sign.
On a general class of elliptic equations in devergence.
On a ground state and two symmetric ground state solutions in a domain
On a Liouville phenomenon for entire weak supersolutions of elliptic partial differential equations
On a Method of K. Uhlenbeck for Proving Partial Regularity for Solutions of Certain Nonlinear Elliptic Systems.
On a model of rotating superfluids
We consider an energy-functional describing rotating superfluids at a rotating velocity , and prove similar results as for the Ginzburg-Landau functional of superconductivity: mainly the existence of branches of solutions with vortices, the existence of a critical above which energy-minimizers have vortices, evaluations of the minimal energy as a function of , and the derivation of a limiting free-boundary problem.
On a model of rotating superfluids
We consider an energy-functional describing rotating superfluids at a rotating velocity ω, and prove similar results as for the Ginzburg-Landau functional of superconductivity: mainly the existence of branches of solutions with vortices, the existence of a critical ω above which energy-minimizers have vortices, evaluations of the minimal energy as a function of ω, and the derivation of a limiting free-boundary problem.
On a nonlinear eigenvalue problem in Sobolev spaces with variable exponent.
On a nonlinear elliptic boundary value problem
On a nonlinear problem modelling states of thermal equilibrium of superconductors.
On a nonlinear stationary problem in unbounded domains.
We study existence and some properties of solutions of the nonlinear elliptic equation N(x,a(u))Lu = f in unbounded domains. The above method is not a variational problem. Our techniques involve fixed point arguments and Galerkin method.