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Uniqueness and monotonicity of solutions for fractional equations with a gradient term

期刊: ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2021; (58)

In this paper, we consider the following fractional equation with a gradient term (-Delta)(s)u(x) = f (x, u( x), del u( x)), in a bounded domain and t......

Sign-changing solutions for fourth-order elliptic equations of Kirchhoff type with critical exponent

期刊: ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2021; (37)

In this paper, we study the existence of ground state sign-changing solutions for the following fourth-order elliptic equations of Kirchhoff type with......

Infinitely many radial positive solutions for nonlocal problems with lack of compactness

期刊: ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2021; (33)

We are concerned with the qualitative and asymptotic analysis of solutions to the nonlocal equation (-Delta)(s)u + V(vertical bar z vertical bar)u = Q......

S-shaped bifurcations in a two-dimensional Hamiltonian system

期刊: ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2021; (49)

We study the solutions to the following Dirichlet boundary problem: d(2)x(t)/dt(2) + lambda f(x(t)) = 0, where x is an element of R, t is an element o......

Ground state solution for a class of supercritical nonlocal equations with variable exponent

期刊: ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2021; (59)

In this paper, we obtain the existence of positive critical point with least energy for a class of functionals involving nonlocal and supercritical va......

Explicit solution and dynamical properties of atmospheric Ekman flows with boundary conditions

期刊: ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2021; (30)

In this paper, we study the classical problem of the wind in the steady atmospheric Ekman layer with the constant eddy viscosity. Different from the p......

Multiple positive solutions for singular anisotropic Dirichlet problems

期刊: ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2021; (47)

We consider a nonlinear Dirichlet problem driven by the variable exponent (anisotropic) p-Laplacian and a reaction that has the competing effects of a......

Analysis of an age-structured dengue model with multiple strains and cross immunity

期刊: ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2021; (50)

Dengue fever is a typical mosquito-borne infectious disease, and four strains of it are currently found. Clinical medical research has shown that the ......

Multiplicity of positive solutions for a class of nonlocal problem involving critical exponent

期刊: ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2021; (57)

In this paper, we study the following critical nonlocal problem {-(a - lambda b integral(Omega)vertical bar del u vertical bar(2)dx) Delta u = lambda ......

Infinitely many nodal solutions for a class of quasilinear elliptic equations

期刊: ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2021; (32)

In this paper, we study the existence of infinitely many nodal solutions for the following quasilinear elliptic equation {-del center dot[phi'(vertica......

Existence of a positive bound state solution for the nonlinear Schrodinger-Bopp-Podolsky system

期刊: ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2021; (4)

In this paper, we study a class of Schrodinger-Bopp-Podolsky system. Under some suitable assumptions for the potentials, by developing some calculatio......

Existence of steady-state solutions for a class of competing systems with cross-diffusion and self-diffusion

期刊: ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2021; (2)

We focus on a system of two competing species with cross-diffusion and self-diffusion. By constructing an appropriate auxiliary function, we derive th......

Existence, uniqueness and qualitative properties of heteroclinic solutions to nonlinear second-order ordinary differential equations

期刊: ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2021; (1)

By means of the shooting method together with the maximum principle and the Kneser-Hukahara continuum theorem, the authors present the existence, uniq......

Blow-up analysis for a porous media equation with nonlinear sink and nonlinear boundary condition

期刊: ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2021; (8)

In this paper, we study porous media equation u(t) = Delta u(m) - u(p) with nonlinear boundary condition partial derivative u/partial derivative v = k......

General solutions to subclasses of a two-dimensional class of systems of difference equations

期刊: ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2021; (12)

We show practical solvability of the following two-dimensional systems of difference equations x(n+1) = u(n-2)v(n-3) + a/u(n-2) + v(n-3), y(n+1) = w(n......

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