Habib Mâagli

Combined effects in nonlinear singular elliptic problems in a bounded domain

Abstract. We establish an existence result of positive solutions to the following boundary value problem: where is a bounded -domain in ℝn, and are nonnegative functions in , , satisfying some appropriate assumptions related to Karamata regular variation theory. We give estimates on such solutions where appear the combined effects of singular and sublinear terms in the nonlinearity.

LARGE AND BOUNDED SOLUTIONS FOR A CLASS OF NONLINEAR SCHRÖDINGER STATIONARY SYSTEMS

In the present paper, we are concerned with entire radially symmetric solutions of nonlinear Schrodinger elliptic systems in anisotropic media. In terms of the growth of the variable potential functions, we establish conditions such that the solutions are either bounded or blow up at infinity.

Existence and Exact Asymptotic Behavior of Positive Solutions for a Fractional Boundary Value Problem

We establish the existence and uniqueness of a positive solution for the fractional boundary value problem , with the condition , where , and is a nonnegative continuous function on that may be singular at or .

Existence and Estimates of Positive Solutions for Some Singular Fractional Boundary Value Problems

We establish the existence and uniqueness of a positive solution for the following fractional boundary value problem, with the conditions , , where , , and is a nonnegative continuous function on that may be singular at or . We also give the global behavior of such a solution.

Existence and global asymptotic behavior of positive solutions for combined second-order differential equations on the half-line

Abstract We are concerned with the existence, uniqueness and global asymptotic behavior of positive continuous solutions to the second-order boundary value problem 1 A ⁢ ( A ⁢ u ′ ) ′ + a 1 ⁢ ( t ) ⁢ u σ 1 + a 2 ⁢ ( t ) ⁢ u σ 2 = 0 , t ∈ ( 0 , ∞ ) ,

ESTIMATES ON THE GREEN FUNCTION AND EXISTENCE OF POSITIVE SOLUTIONS FOR SOME NONLINEAR POLYHARMONIC PROBLEMS OUTSIDE THE UNIT BALL

\frac{1}{A}(Au^{\prime})^{\prime}+a_{1}(t)u^{\sigma_{1}}+a_{2}(t)u^{\sigma_{2}% }=0,\quad t\in(0,\infty),

Positive solutions for some competitive elliptic systems

subject to the boundary conditions lim t → 0 + ⁡ u ⁢ ( t ) = 0

Existence and asymptotic behavior of ground state solutions of semilinear elliptic system

{\lim_{t\rightarrow 0^{+}}u(t)=0}

Existence of Positive Solutions for Some Superlinear Fourth-Order Boundary Value Problems

, lim t → ∞ ⁡ u ⁢ ( t ) / ρ ⁢ ( t ) = 0

Asymptotic Behavior of Ground State Radial Solutions for -Laplacian Problems

{\lim_{t\rightarrow\infty}{u(t)}/{\rho(t)}=0}