Existence and blow up of solutions to certain classes of two-dimensional nonlinear Neumann problems
Existence and multiplicity of positive solutions to a class of quasilinear elliptic equations in .
Existence and multiplicity results for a nonlinear stationary Schrödinger equation
We revisit Kristály’s result on the existence of weak solutions of the Schrödinger equation of the form -Δu + a(x)u = λb(x)f(u), , , where λ is a positive parameter, a and b are positive functions, while is sublinear at infinity and superlinear at the origin. In particular, by using Ricceri’s recent three critical points theorem, we show that, under the same hypotheses, a much more precise conclusion can be obtained.
Existence and multiplicity results for degenerate elliptic equations with dependence on the gradient.
Existence and uniqueness of solutions to wave equations with nonlinear degenerate damping and source terms
Existence, comportement à l'infini et stabilité dans certains problèmes quasilinéaires elliptiques et paraboliques d'ordre 2
Existence of blowup solutions for nonlinear problems with a gradient term.
Existence of global solutions for systems of reaction-diffusion equations on unbounded domains.
Existence of global solutions to reaction-diffusion systems via a Lyapunov functional.
Existence of Global Solutions to Supercritical Semilinear Wave Equations
∗The author was partially supported by Alexander von Humboldt Foundation and the Contract MM-516 with the Bulgarian Ministry of Education, Science and Thechnology.In this work we study the existence of global solution to the semilinear wave equation (1.1) (∂2t − ∆)u = F(u), where F(u) = O(|u|^λ) near |u| = 0 and λ > 1. Here and below ∆ denotes the Laplace operator on R^n. The existence of solutions with small initial data, for the case of space dimensions n = 3 was studied by F. John in [13],...
Existence of nontrivial solution for a nonlocal elliptic equation with nonlinear boundary condition.
Existence of positive bounded solutions of semilinear elliptic problems.
Existence of positive solutions for some Dirichlet problems with an asymptotically homogeneous operator.
Existence of radial positive solutions vanishing at infinity for asymptotically homogeneous systems.
Existence of solutions bounded at infinity for a semilinear elliptic equation on RN.
Existence of solutions for a degenerate nonlinear evolution equation.
We consider a model of generalized Cahn-Hilliard equations with a logarithmic free energy and a degenerate mobility, and obtain a result on the existence of solutions.
Existence of solutions for hyperbolic system of second order outside a domain.
Existence of solutions for quasilinear elliptic boundary value problems in unbounded domains.
Existence of solutions for quasilinear parabolic equations with nonlocal boundary conditions.
Existence of solutions to the Rosenau and Benjamin-Bona-Mahony equation in domains with moving boundary.