Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations.
Existence and multiplicity results for nonlinear eigenvalue problems with discontinuities
We study eigenvalue problems with discontinuous terms. In particular we consider two problems: a nonlinear problem and a semilinear problem for elliptic equations. In order to study the existence of solutions we replace these two problems with their multivalued approximations and, for the first problem, we estabilish an existence result while for the second problem we prove the existence of multiple nontrivial solutions. The approach used is variational.
Existence and multiplicity results for nonlinear elliptic problems in with an indefinite functional.
Existence and symmetry of least energy solutions for a class of quasi-linear elliptic equations
Existence de l-formes fermées non singulières dans une classe de cohomologie de de Rham
Existence of critical points for some noncoercive functionals
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 critical points for an asymptotically quadratic functional with applications.
Existence of nontrivial solutions for semilinear problems with strictly differentiable nonlinearity.
Existence of positive solutions for quasilinear elliptic systems involving the -Laplacian.
Existence of radial positive solutions vanishing at infinity for asymptotically homogeneous systems.
Existence of solutions for a class of damped vibration problems on time scales.
Existence of solutions for a nonlinear algebraic system.
Existence of solutions for a -Laplacian non-homogeneous equations.
Existence of solutions for a resonant problem under Landesman-Lazer conditions.
Existence of solutions for an eigenvalue problem with weight.
Existence of solutions for elliptic systems with nonlocal terms in one dimension.
Existence of solutions for some elliptic problems with critical Sobolev exponents.
Let Ω be a bounded domain in Rn with n ≥ 3. In this paper we are concerned with the problem of finding u ∈ H01 (Ω) satisfying the nonlinear elliptic problemsΔu + |u|(n+2/n-2) + f(x) = 0 in Ω and u(x) = 0 on ∂Ω, andΔu + u + |u|(n+2/n-2) + f(x) = 0 in Ω and u(x) = 0 on ∂Ω, when of f ∈ L∞(Ω).