Multiple solutions for semilinear elliptic boundary value problems at resonance.
Multiple solutions for singularly perturbed semilinear elliptic equations in bounded domains.
Multiple solutions for some Dirichlet problems with nonlocal terms
We deal with some Dirichlet problems involving a nonlocal term. The existence of two nonzero, nonnegative solutions is achieved by applying a recent result by Ricceri.
Multiple Solutions for Some Semilinear Elliptic Equations.
Multiple solutions for the -Laplace equation with nonlinear boundary conditions.
Multiple solutions of a nonlinear elliptic equation involving Neumann conditions and a critical Sobolev exponent
Multiple solutions of a Schrödinger type semilinear equation
Two nontrivial solutions are obtained for nonhomogeneous semilinear Schrödinger equations.
Multiple solutions of a semilinear elliptic equation in
Multiple Solutions of Differential Equations Without the Palais-Smale Condition.
Multiple solutions of indefinite elliptic systems via a Galerkin-type Conley index theory
Let Ω be a bounded domain in with smooth boundary. Consider the following elliptic system: in Ω, in Ω, u = 0, v = 0 in ∂Ω. (ES) We assume that H is an even "-"-type Hamiltonian function whose first order partial derivatives satisfy appropriate growth conditions. We show that if (0,0) is a hyperbolic solution of (ES), then (ES) has at least 2|μ| nontrivial solutions, where μ = μ(0,0) is the renormalized Morse index of (0,0). This proves a conjecture by Angenent and van der Vorst.
Multiple solutions of -Laplacian with Neumann and Robin boundary conditions for both resonance and oscillation problem.
Multiple solutions of quasilinear elliptic equations in .
Multiple solutions of semilinear elliptic systems
We obtain in this paper a multiplicity result for strongly indefinite semilinear elliptic systems in bounded domains as well as in .
Multiple solutions of some asymptotically linear elliptic boundary value problems
Multiple solutions of supercritical elliptic problems in perturbed domains
Multiple solutions of the static Landau-Lifshitz equation from B2 into S2.
Multiple solutions to a Cafarelli-Kohn-Nirenberg type equation with asymptotically linear term.
Multiple solutions to a nonlinear elliptic equation involving Paneitz type operators.
Multiple solutions to a perturbed Neumann problem
We consider the perturbed Neumann problem ⎧ -Δu + α(x)u = α(x)f(u) + λg(x,u) a.e. in Ω, ⎨ ⎩ ∂u/∂ν = 0 on ∂Ω, where Ω is an open bounded set in with boundary of class C², with , f: ℝ → ℝ is a continuous function and g: Ω × ℝ → ℝ, besides being a Carathéodory function, is such that, for some p > N, and for all t ∈ ℝ. In this setting, supposing only that the set of global minima of the function has M ≥ 2 bounded connected components, we prove that, for all λ ∈ ℝ small enough, the above...
Multiple solutions to a singular Lane-Emden-Fowler equation with convection term.