Eigenvalue problems for a quasilinear elliptic equation on .
Existence and asymptotic behavior of positive solutions to -Laplacian equations with singular nonlinearities.
Existence and blow up of solutions to certain classes of two-dimensional nonlinear Neumann problems
Existence and concentration of positive solutions for a quasilinear elliptic equation in .
Existence and L∞ estimates of some Mountain-Pass type solutions
We prove the existence of a positive solution to the BVP imposing some conditions on Φ and f. In particular, we assume to be decreasing in t. Our method combines variational and topological arguments and can be applied to some elliptic problems in annular domains. An bound for the solution is provided by the norm of any test function with negative energy.
Existence and multiplicity of nontrivial solutions for double resonance semilinear elliptic problems.
Existence and multiplicity of positive solutions for Dirichlet problems in unbounded domains.
Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations.
Existence by minimisation of solitary water waves on an ocean of infinite depth
Existence of a ray of eigenvalues for equations with discontinuous operators.
Existence of four solutions of some nonlinear Hamiltonian system.
Existence of infinitely many nodal solutions for a superlinear Neumann boundary value problem.
Existence of infinitely many solutions for elliptic boundary-value problems with nonsymmetrical critical nonlinearity.
Existence of multiple solutions for a class of second-order ordinary differential equations.
Existence of non-negative solutions for nonlinear equations in the semi-positone case.
Existence of nontrivial solutions for semilinear problems with strictly differentiable nonlinearity.
Existence of periodic solutions for second-order neutral differential equations.
Existence of solution for a singular elliptic equation with critical Sobolev-Hardy exponents.
Existence of solutions and of multiple solutions for nonlinear nonsmooth periodic systems
In this paper we examine nonlinear periodic systems driven by the vectorial -Laplacian and with a nondifferentiable, locally Lipschitz nonlinearity. Our approach is based on the nonsmooth critical point theory and uses the subdifferential theory for locally Lipschitz functions. We prove existence and multiplicity results for the “sublinear” problem. For the semilinear problem (i.e. ) using a nonsmooth multidimensional version of the Ambrosetti-Rabinowitz condition, we prove an existence theorem...
Existence of solutions for a family of polyharmonic and biharmonic equations.