On a class of variational-hemivariational inequalities.
On a nonlinear wave equation in unbounded domains.
On a semilinear elliptic equation in
We prove existence/nonexistence and uniqueness of positive entire solutions for some semilinear elliptic equations on the Hyperbolic space.
On a Theorem of de Giorgi and Stampacchia.
On a volume constrained variational problem in SBV : part I
We consider the problem of minimizing the energyamong all functions for which two level sets have prescribed Lebesgue measure . Subject to this volume constraint the existence of minimizers for is proved and the asymptotic behaviour of the solutions is investigated.
On a Volume Constrained Variational Problem in SBV²(Ω): Part I
We consider the problem of minimizing the energy among all functions u ∈ SBV²(Ω) for which two level sets have prescribed Lebesgue measure . Subject to this volume constraint the existence of minimizers for E(.) is proved and the asymptotic behaviour of the solutions is investigated.
On application of direct variational methods to the solution of parabolic boundary value problems of arbitrary order in the space variables
On existence of the weak solution for nonlinear diffusion equation
The paper concerns the existence of bounded weak solutions of a anonlinear diffusion equation with nonhomogeneous mixed boundary conditions.
On existence of the weak solution for non-linear partial differential equations of elliptic type. II.
On extrema of functionals
On generalized Drichlet problems.
On Kirchhoff type problems involving critical and singular nonlinearities
In this paper, we are interested in multiple positive solutions for the Kirchhoff type problem ⎧ in Ω ⎨ ⎩ u = 0 on ∂Ω, where Ω ⊂ ℝ³ is a smooth bounded domain, 0∈Ω, 1 < q < 2, λ is a positive parameter and β satisfies some inequalities. We obtain the existence of a positive ground state solution and multiple positive solutions via the Nehari manifold method.
On nonhomogeneous biharmonic equations involving critical Sobolev exponent.
On nonhomogeneous elliptic equations involving critical Sobolev exponent
On perturbative cubic nonlinear Schrödinger equations under complex nonhomogeneities and complex initial conditions.
On Pseudo-monotone Operators and Nonlinear Noncoercive Variational Problems on Unbounded Domains.
On quasiconvex equimeasurable rearrangement, a counterexample and an example.
On quasilinear elliptic equations in .
On second order Hamiltonian systems
The aim of the paper is to announce some recent results concerning Hamiltonian theory. The case of second order Euler–Lagrange form non-affine in the second derivatives is studied. Its related second order Hamiltonian systems and geometrical correspondence between solutions of Hamilton and Euler–Lagrange equations are found.
On Signorini problem for von Kármán equations