On a class of semilinear elliptic problems near critical growth.
On a fourth order superlinear elliptic problem.
On a generalization of the Dirichlet integral.
On a local Lipschitz constant of the maps related to -decomposition.
On a maximum principle for nonlinear equations
On a method for solving a classical variational problem.
On a non linear partial differential equation having natural growth terms and unbounded solution
On a perturbed Dirichlet problem for a nonlocal differential equation of Kirchhoff type.
On a real Monge-Ampère functional.
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 semilinear variational problem
We provide a detailed analysis of the minimizers of the functional , , subject to the constraint . This problem,e.g., describes the long-time behavior of the parabolic Anderson in probability theory or ground state solutions of a nonlinear Schrödinger equation. While existence can be proved with standard methods, we show that the usual uniqueness results obtained with PDE-methods can be considerably simplified by additional variational arguments. In addition, we investigate qualitative properties...
On a semilinear variational problem
We provide a detailed analysis of the minimizers of the functional , , subject to the constraint . This problem, e.g., describes the long-time behavior of the parabolic Anderson in probability theory or ground state solutions of a nonlinear Schrödinger equation. While existence can be proved with standard methods, we show that the usual uniqueness results obtained with PDE-methods can be considerably simplified by additional variational arguments. In addition, we investigate qualitative properties...
On an elliptic equation with exponential growth
On bifurcation and uniqueness results for some semilinear elliptic equations involving a singular potential
We present some results concerning the problem , in , , where , , and is a smooth bounded domain containing the origin. In particular, bifurcation and uniqueness results are discussed.
On certain nonlinear elliptic systems with indefinite terms.
On critical points for noncoercive functionals and subharmonic solutions of some Hamiltonian systems.
On elliptic equations in with critical exponents.
On existence of positive solutions for a class of Caffarelli-Kohn-Nirenberg type equations
We investigate the solvability of a singular equation of Caffarelli-Kohn-Nirenberg type having a critical-like nonlinearity with a sign-changing weight function. We shall examine how the properties of the Nehari manifold and the fibering maps affect the question of existence of positive solutions.
On existence of solution for a class of semilinear elliptic equations with nonlinearities that lies between different powers.
On Fredholm alternative for certain quasilinear boundary value problems