Existence of positive and sign-changing solutions for -Laplace equations with potentials in .
Existence of positive bounded solutions for some nonlinear polyharmonic elliptic systems.
Existence of positive bounded solutions of semilinear elliptic problems.
Existence of positive radial solutions for a weakly coupled systems via blow up.
Existence of positive radial solutions for the elliptic equations on an exterior domain
We discuss the existence of positive radial solutions of the semilinear elliptic equation ⎧-Δu = K(|x|)f(u), x ∈ Ω ⎨αu + β ∂u/∂n = 0, x ∈ ∂Ω, ⎩, where , N ≥ 3, K: [r₀,∞) → ℝ⁺ is continuous and , f ∈ C(ℝ⁺,ℝ⁺), f(0) = 0. Under the conditions related to the asymptotic behaviour of f(u)/u at 0 and infinity, the existence of positive radial solutions is obtained. Our conditions are more precise and weaker than the superlinear or sublinear growth conditions. Our discussion is based on the fixed point...
Existence of positive solutions for -Laplacian problems.
Existence of positive solutions for some Dirichlet problems with an asymptotically homogeneous operator.
Existence of positive solutions for some nonlinear elliptic systems on the half space.
Existence of positive solutions for some nonlinear elliptic problems in unbounded domains of .
Existence of positive solutions for some nonlinear parabolic equations in the half space.
Existence of pseudo almost periodic solutions to some classes of partial hyperbolic evolution equations.
Existence of pullback attractors for the coupled suspension bridge equations.
Existence of pulsating waves in a model of flames in sprays
A one-dimensional system describing the propagation of low Mach number flames in sprays is studied. We show that pulsating waves may exist when the droplet distribution in the unburnt region is spatially periodic. The range of possible propagation speeds may be either bounded or unbounded, depending on the threshold temperatures of the burning and vaporization rates.
Existence of quadratic-mean almost periodic solutions to some stochastic hyperbolic differential equations.
Existence of radial positive solutions vanishing at infinity for asymptotically homogeneous systems.
Existence of regular solutions for nonlinear Signorini's problem
Existence of regular solutions to the stationary Navier-Stokes equations.
Existence of -almost periodic solutions to a class of nonautonomous stochastic evolution equations.
Existence of semi-periodic solutions of steady Navier-Stokes equations in a half space with an exponential decay at infinity
Existence of solution to nonlinear boundary value problem for ordinary differential equation of the second order in Hilbert space
In this paper we deal with the boundary value problem in the Hilbert space. Existence of a solutions is proved by using the method of lower and upper solutions. It is not necessary to suppose that the homogeneous problem has only the trivial solution. We use some results from functional analysis, especially the fixed-point theorem in the Banach space with a cone (Theorem 4.1, [5]).