Multiple sign-changing solutions for sub-linear impulsive three-point boundary-value problems.
Multiple solutions for a nonlinear second order differential equation
Multiple solutions for a system of boundary value problems.
Multiple solutions for fourth order -point boundary value problems with sign-changing nonlinearity.
Multiple solutions of a third order boundary value problem
Multiple solutions of generalized multipoint conjugate boundary value problems.
Multiple solutions of nonlinear boundary value problems and topological degree
Multiple solutions of nonlinear boundary value problems by the quasilinearization process
Multiple solutions of nonlinear boundary value problems for equations with critical points
Multiplicative solution theory for three-path combinations
Multiplicity and concentration behavior of positive solutions for a Schrödinger–Kirchhoff type problem via penalization method
In this paper we are concerned with questions of multiplicity and concentration behavior of positive solutions of the elliptic problem( P ε ) ℒ ε u = f ( u ) in IR 3 , u > 0 in IR 3 , u ∈ H 1 ( IR 3 ) , whereε is a small positive parameter, f : ℝ → ℝ is a continuous function,ℒ ε is a nonlocal operator defined byℒ ε u = M 1 ε ∫ IR 3 | ∇ u | 2 + 1 ε 3 ∫ IR 3 V ( x ) u 2 [ − ε 2 Δ u + V ( x ) u ] ,M : IR+ → IR+ and V : IR3 → IR are continuous functions which verify some hypotheses.
Multiplicity of positive periodic solutions of singular semipositone third-order boundary value problems.
Multiplicity of positive solutions for a fourth-order quasilinear singular differential equation.
Multiplicity of positive solutions for a nonlinear differential equation with nonlinear boundary conditions
We study the existence and multiplicity of positive solutions of the nonlinear equation u''(x) + λh(x)f(u(x)) = 0 subject to nonlinear boundary conditions. The method of upper and lower solutions and degree theory arguments are used.
Multiplicity of positive solutions for a nonlinear fourth order equation
We study the existence and multiplicity of positive solutions of the nonlinear fourth order problem ⎧ in (0,1), ⎨ ⎩u(0) = a ≥ 0, u’(0) = a’ ≥ 0, u(1) = b ≥ 0, u(1) = -b’ ≤ 0 The methods employed are upper and lower solutions and degree theory arguments.
Multiplicity of positive solutions for four-point boundary value problems of impulsive differential equations with -Laplacian.
Multiplicity of positive solutions to second order differential equations with Neumann boundary conditions
We study the existence of positive solutions to second order nonlinear differential equations with Neumann boundary conditions. The proof relies on a fixed point theorem in cones, and the positivity of Green's function plays a crucial role in our study.
Multiplicity of solutions for quasilinear elliptic boundary-value problems.
Multiplicity of solutions for some fourth-order -point boundary-value problems.
Multiplicity results for a class of asymmetric weakly coupled systems of second-order ordinary differential equations.