On Solvability of a Nonlinear Elliptic Boundary Value Problem
On some results of Moser and of Bangert
On the average value for nonconstant eigenfunctions of the -Laplacian assuming Neumann boundary data.
On the behaviour of the solutions to p-Laplacian equations as p goes to 1
On the boundary element method for the Signorini problem of the Laplacian.
On the Dirichlet Probelm for Surfaces of Prescribed Mean Curvature.
On the eigenvalue problem for the Hardy-Sobolev operator with indefinite weights.
On the existence and the stability of solutions for higher-order semilinear Dirichlet problems
We investigate the existence and stability of solutions for higher-order two-point boundary value problems in case the differential operator is not necessarily positive definite, i.e. with superlinear nonlinearities. We write an abstract realization of the Dirichlet problem and provide abstract existence and stability results which are further applied to concrete problems.
On the existence of a positive solution of semilinear elliptic equations in unbounded domains
On the existence of five nontrivial solutions for resonant problems with p-Laplacian
In this paper we study a nonlinear Dirichlet elliptic differential equation driven by the p-Laplacian and with a nonsmooth potential. The hypotheses on the nonsmooth potential allow resonance with respect to the principal eigenvalue λ₁ > 0 of . We prove the existence of five nontrivial smooth solutions, two positive, two negative and the fifth nodal.
On the existence of infinitely many solutions for a class of semilinear elliptic equations in
We show, by variational methods, that there exists a set open and dense in such that if then the problem , with subcritical (or more general nonlinearities), admits infinitely many solutions.
On the existence of multiple positive solutions for a certain class of elliptic problems
We investigate the existence of solutions for the Dirichlet problem including the generalized balance of a membrane equation. We present a duality theory and variational principle for this problem. As one of the consequences of the duality we obtain some numerical results which give a measure of a duality gap between the primal and dual functional for approximate solutions.
On the existence of positive solution for an elliptic equation of Kirchhoff type via Moser iteration method.
On the existence of solutions to a class of -Laplace elliptic equations.
On the Exterior Capillarity Problem.
On the first eigenvalue of the Steklov eigenvalue problem for the infinity Laplacian.
On the -convergence of Morrey operators
Following Morrey [14] we associate to any measurable symmetric matrix valued function such that
On the Ginzburg-Landau energy with weight
On the Hénon equation : asymptotic profile of ground states, I
On the inhomogeneous nonlinear Schrödinger equation with harmonic potential and unbounded coefficient
By deriving a variant of interpolation inequality, we obtain a sharp criterion for global existence and blow-up of solutions to the inhomogeneous nonlinear Schrödinger equation with harmonic potential We also prove the existence of unstable standing-wave solutions via blow-up under certain conditions on the unbounded inhomogeneity and the power of nonlinearity, as well as the frequency of the wave.