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Bellman Systems with Mean Field Dependent Dynamics
The authors deal with nonlinear elliptic and parabolic systems that are the Bellman like systems associated to stochastic differential games with...
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A Type of Brézis–Oswald Problem to the \({\Phi}\)- Laplacian Operator with Very Singular Term
In this work we consider existence and uniqueness of solutions for a quasilinear elliptic problem, which may be singular at the origin. Furthermore,...
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Stationary patterns of a ratio-dependent prey-predator model with cross-diffusion
This paper is concerned with a ratio-dependent predator-prey system with diffusion and cross-diffusion in a bounded domain with no flux boundary...
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Existence and multiplicity of solutions for nonlocal systems with Kirchhoff type
Firstly, we use Nehari manifold and Mountain Pass Lemma to prove an existence result of positive solutions for a class of nonlocal elliptic system...
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Qualitative analysis for a Wolbachia infection model with diffusion
We consider a reaction-diffusion model which describes the spatial Wolbachia spread dynamics for a mixed population of infected and uninfected...
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The index bundle and bifurcation from infinity of solutions of nonlinear elliptic boundary value problems
We present three criteria for bifurcation from infinity of solutions of general boundary value problems for nonlinear elliptic systems of partial...
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Wolbachia infection dynamics by reaction-diffusion equations
Dengue fever is caused by the dengue virus and transmitted by Aedes mosquitoes. A promising avenue for eradicating the disease is to infect the wild aedes...
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Existence, uniqueness and stability of positive solutions to a general sublinear elliptic systems
In this paper, we make use of a new stability result and bifurcation theory to study the existence and uniqueness of positive solutions to semilinear...
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Coexistence states for a modified Leslie-Gower type predator-prey model with diffusion
This paper is concerned with a modified Leslie-Gower predator-prey model with general functional response under homogeneous Robin boundary...
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Boundary-value Problems for Higher-order Elliptic Equations in Non-smooth Domains
This paper presents a survey of recent results, methods, and open problems in the theory of higher-order elliptic boundary value problems on...
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The Ljapunov–Schmidt Reduction for Some Critical Problems
We study a class of problems which are perturbation of some critical problems, namely...
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On Elliptic System Involving Critical Sobolev Exponent and Weights
This paper is devoted to the existence and nonexistence of positive solutions for a semilinear elliptic system involving critical Sobolev exponent...