Two positive solutions for a Dirichlet problem with the (p,q) ‐Laplacian
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DOI: 10.1002/mana.201800330
Abstract: The aim of this paper is to prove the existence of two solutions for a nonlinear elliptic problem involving the (p,q) ‐Laplacian operator. The solutions are obtained by using variational methods and critical points theorems.… read more here.
Keywords: problem laplacian; solutions dirichlet; positive solutions; problem ... See more keywords
Existence of positive solutions for integral boundary value problems of fractional differential equations on infinite interval
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DOI: 10.1002/mma.4106
Abstract: In this paper, we consider a class of nonlinear fractional differential equations on the infinite interval D0+αu(t)+ft,u(t),D0+α−1u(t)=0,t∈(0,+∞), with the integral boundary conditions u(0)=0,D0+α−1u(∞)=∫0τg1(s)u(s)ds+a,D0+α−2u(0)=∫0τg2(s)u(s)ds+b. By using Krasnoselskii fixed point theorem, the existence results of positive solutions… read more here.
Keywords: infinite interval; positive solutions; integral boundary; fractional differential ... See more keywords
On positive solutions of fractional differential equations with change of sign
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DOI: 10.1002/mma.5619
Abstract: We study the existence and uniqueness of positive solutions of fractional differential equations with change of sign D0+α(u′′(t))=h(t)f(u(t)),0 read more here.
Keywords: change sign; solutions fractional; positive solutions; equations change ... See more keywords
Approximating Monotone Positive Solutions of a Nonlinear Fourth-Order Boundary Value Problem via Sum Operator Method
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DOI: 10.1007/s00009-017-0844-7
Abstract: In this article, the authors investigate the existence and uniqueness as well as approximations of monotone positive solutions for a nonlinear fourth-order boundary value problem of the form $$ u^{(4)}(t)=f(t,u(t)),\ 0< t read more here.
Keywords: value problem; monotone positive; positive solutions; boundary value ... See more keywords
Global Behavior of Positive Solutions of a Generalized Lane–Emden System of Nonlinear Differential Equations
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DOI: 10.1007/s00009-017-0889-7
Abstract: In this paper we discuss the existence and the global behavior of positive solutions of the following generalized Lane–Emden system of differential equations: $$\begin{aligned} -u''= & {} a(x)u^{\alpha }\,v^{r}\quad \text{ in } (0,1), \\ -v''=… read more here.
Keywords: behavior positive; emden system; positive solutions; generalized lane ... See more keywords
The Positive Solutions for Integral Boundary Value Problem of Fractional p-Laplacian Equation with Mixed Derivatives
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DOI: 10.1007/s00009-017-0895-9
Abstract: In this paper, we consider a class of integral boundary value problems of fractional p-Laplacian equation, which involve both Riemann–Liouville fractional derivative and Caputo fractional derivative. By using the generalization of Leggett–Williams fixed point theorem,… read more here.
Keywords: fractional laplacian; positive solutions; value; integral boundary ... See more keywords
Positive Solutions for Some Semi-positone Problems with Nonlinear Boundary Conditions via Bifurcation Theory
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DOI: 10.1007/s00009-019-1443-6
Abstract: Bifurcation theory is used to prove the existence of positive solutions of some classes of semi-positone problems with nonlinear boundary conditions $$\begin{aligned} {\left\{ \begin{array}{ll} -u''=\lambda f(t, u), \qquad t\in (0,1),\\ u(0)=0, \quad u'(1)+c(u(1))u(1)=0,\\ \end{array}\right. }… read more here.
Keywords: problems nonlinear; positive solutions; positone problems; bifurcation theory ... See more keywords
Positive Solutions for Nonlocal Extended Fisher–Kolmogorov and Swift–Hohenberg Equations
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DOI: 10.1007/s00009-021-01709-5
Abstract: In this paper we study the existence of positive solutions for a class of nonlocal fourth-order nonautonomous differential equations which can be seen as generalization of extended Fisher-Kolmogorov and Swift-Hohenberg equations. The main result is… read more here.
Keywords: fisher kolmogorov; swift hohenberg; extended fisher; positive solutions ... See more keywords
Existence and Asymptotic Behavior of Positive Solutions for a Coupled System of Semilinear Fractional Differential Equations
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DOI: 10.1007/s00025-016-0528-9
Abstract: In this paper, we study a coupled system of semilinear Riemann–Liouville type fractional differential equations. Applying the Schäuder fixed point theorem, we prove the existence of positive solutions of the fractional differential system. Furthermore, the… read more here.
Keywords: system; positive solutions; system semilinear; fractional differential ... See more keywords
Positive Solutions and Infinitely Many Solutions for a Weakly Coupled System
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DOI: 10.1007/s10473-020-0523-9
Abstract: We study a Schrödinger system with the sum of linear and nonlinear couplings. Applying index theory, we obtain infinitely many solutions for the system with periodic potentials. Moreover, by using the concentration compactness method, we… read more here.
Keywords: system; solutions infinitely; positive solutions; solutions weakly ... See more keywords
Multiplicity of Positive Solutions to the Boundary-Value Problems for Fractional Laplacians
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DOI: 10.1007/s10958-018-4124-2
Abstract: For the problem (−Δ)su=uq−1 in the annulus ΩR = BR+1 \ BR ∈ ℝn, a so-called “multiplicity effect” is established: for each N ∈ ℕ there exists R0 such that for all R ≥ R0… read more here.
Keywords: multiplicity; solutions boundary; positive solutions; boundary value ... See more keywords