Results 21 to 30 of about 431 (62)
Oscillatory bifurcation problems for ODEs with logarithmic nonlinearity
We study the global structure of the oscillatory perturbed bifurcation problem which comes from the stationary logarithmic Schrödinger equation −u″(t)=λ(log(1+u(t))+sinu(t)),u(t)>0,t∈I≔(−1,1),u(±1)=0,-{u}^{^{\prime\prime} }\left(t)=\lambda (\log \left(1 ...
Shibata Tetsutaro
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Multiple Positive solutions of a $(p_1,p_2)$-Laplacian system with nonlinear BCs [PDF]
Using the theory of fixed point index, we discuss existence, non-existence, localization and multiplicity of positive solutions for a $(p_1,p_2)$-Laplacian system with nonlinear Robin and/or Dirichlet type boundary conditions.
Cianciaruso, Filomena +1 more
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We study the bifurcation diagrams and exact multiplicity of positive solutions for the one-dimensional prescribed mean curvature equation −u′1+u′2′=λu1+up,−LL∗L\gt {L}^{\ast }, and is exactly decreasing for λ>λ∗\lambda \gt {\lambda }^{\ast } if ...
Zhang Jiajia +3 more
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Nonlinear Eigenvalues and Bifurcation Problems for Pucci's Operator [PDF]
In this paper we extend existing results concerning generalized eigenvalues of Pucci's extremal operators. In the radial case, we also give a complete description of their spectrum, together with an equivalent of Rabinowitz's Global Bifurcation Theorem ...
Alexander Quaas +36 more
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Existence results for some nonlinear problems with $\phi$-Laplacian [PDF]
Using the barrier strip argument, we obtain the existence of solutions for the nonlinear boundary value problem $$ (\phi(u'))'=f(t,u,u'),\qquad u(0)=A,\qquad u'(1)=B, $$ where $\phi$ is an increasing ...
Liu, Rui, Ma, Ruyun, Zhang, Lu
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Positive solutions of arbitrary order nonlinear fractional differential equations with advanced arguments [PDF]
In this paper, we investigate the existence and uniqueness of positive solutions to arbitrary order nonlinear fractional differential equations with advanced arguments.
Guotao Wang +2 more
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In this paper, we investigate the existence of positive solutions for Hadamard type fractional differential system with coupled nonlocal fractional integral boundary conditions on an infinite domain. Our analysis relies on Guo-Krasnoselskii’s and Leggett-
Jessada Tariboon +3 more
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Existence of positive solutions of a superlinear boundary value problem with indefinite weight
We deal with the existence of positive solutions for a two-point boundary value problem associated with the nonlinear second order equation $u''+a(x)g(u)=0$. The weight $a(x)$ is allowed to change its sign. We assume that the function $g\colon\mathopen{[}
A. Zettl +11 more
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A Sub-Supersolution Approach for a Quasilinear Kirchhoff Equation
In this paper we establish an existence result for a quasilinear Kirchhoff equation via a sub and supersolution approach, by using the pseudomonotone operators ...
Alves, Claudianor O. +1 more
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A topological analysis of p(x)-harmonic functionals in one-dimensional nonlocal elliptic equations
We consider a class of one-dimensional elliptic equations possessing a p(x)-harmonic functional as a nonlocal coefficient.
Goodrich Christopher S.
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