Oblique derivative problems for elliptic systems of second order equations in infinite domains.
On a boundary value problem in nonlinear theory of thin elastic plates
On a Brezis-Nirenberg type problem.
On a Class of Elliptic Equations for the N-Laplacian in R^n with One-Sided Exponential Growth
2000 Mathematics Subject Classification: 35J40, 49J52, 49J40, 46E30By means of a suitable nonsmooth critical point theory for lower semicontinuous functionals we prove the existence of infinitely many solutions for a class of quasilinear Dirichlet problems with symmetric non-linearities having a one-sided growth condition of exponential type.The research of the authors was partially supported by the MIUR project “Variational and topological methods in the study of nonlinear phenomena” (COFIN 2001)....
On a class of Monge-Ampére problems with non-homogeneous Dirichlet boundary condition.
On a class of nonlinear elliptic equations
On a class of semilinear elliptic equations with boundary conditions and potentials which change sign.
On a class of semilinear elliptic problems near critical growth.
On a comparison principle for a quasilinear elliptic boundary value problem of a nonmonotone type
A nonlinear elliptic partial differential equation with the Newton boundary conditions is examined. We prove that for greater data we get a greater weak solution. This is the so-called comparison principle. It is applied to a steady-state heat conduction problem in anisotropic magnetic cores of large transformers.
On a familiy of torsional creep problems.
On a free boundary problem for minimal surfaces.
On a Liouville type theorem for isotropic homogeneous fully nonlinear elliptic equations in dimension two
In this paper we establish a Liouville type theorem for fully nonlinear elliptic equations related to a conjecture of De Giorgi in . We prove that if the level lines of a solution have bounded curvature, then these level lines are straight lines. As a consequence, the solution is one-dimensional. The method also provides a result on free boundary problems of Serrin type.
On a maximum principle for elliptic systems with constant coefficients
On a min-max procedure for the existence of a positive solution for certain scalar field equations in RN.
In this paper we mainly introduce a min-max procedure to prove the existence of positive solutions for certain semilinear elliptic equations in RN.
On a non linear partial differential equation having natural growth terms and unbounded solution
On a nonlinear elliptic boundary value problem
On a nonlinear elliptic system: resonance and bifurcation cases
In this paper we consider an elliptic system at resonance and bifurcation type with zero Dirichlet condition. We use a Lyapunov-Schmidt approach and we will give applications to Biharmonic Equations.
On a nonresonance condition between the first and the second eigenvalues for the -Laplacian.
On a priori estimates for positive solutions of a semilinear biharmonic equation in a ball
On a problem of lower limit in the study of nonresonance.