Open Mathematics, 2018 This paper investigates the dynamic behavior analysis on the prey-predator model with ratio-dependent Monod-Haldane response function under the homogeneous Dirichlet boundary conditions, which is used to simulate a class of biological system.
Feng Xiaozhou, Song Yi, An Xiaomin
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Existence results for nonlinear degenerate elliptic equations with lower order terms
Advances in Nonlinear Analysis, 2020 In this paper, we prove the existence and regularity of solutions of the homogeneous Dirichlet initial-boundary value problem for a class of degenerate elliptic equations with lower order terms. The results we obtained here, extend some existing ones of [
Zou Weilin, Li Xinxin
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Positive solution for a nonlocal problem with strong singular nonlinearity
Open Mathematics, 2023 In this article, we consider a nonlocal problem with a strong singular term and a general weight function. By using Ekeland’s variational principle, we prove a necessary and sufficient condition for the existence of a positive solution.
Wang Yue +3 more
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Nontrivial solution for Klein-Gordon equation coupled with Born-Infeld theory with critical growth
Advances in Nonlinear Analysis, 2023 In this article, we study the following system: −Δu+V(x)u−(2ω+ϕ)ϕu=λf(u)+∣u∣4u,inR3,Δϕ+βΔ4ϕ=4π(ω+ϕ)u2,inR3,\left\{\begin{array}{ll}-\Delta u+V\left(x)u-\left(2\omega +\phi )\phi u=\lambda f\left(u)+| u{| }^{4}u,& \hspace{0.1em}\text{in}\hspace{0.1em ...
He Chuan-Min, Li Lin, Chen Shang-Jie
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Normalized solutions for the p-Laplacian equation with a trapping potential
Advances in Nonlinear Analysis, 2023 In this article, we are concerned with normalized solutions for the pp -Laplacian equation with a trapping potential and Lr{L}^{r}-supercritical growth, where r=pr=p or 2.2.
Wang Chao, Sun Juntao
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Global bifurcation of coexistence states for a prey-predator model with prey-taxis/predator-taxis
Advanced Nonlinear Studies, 2023 This article is concerned with the stationary problem for a prey-predator model with prey-taxis/predator-taxis under homogeneous Dirichlet boundary conditions, where the interaction is governed by a Beddington-DeAngelis functional response.
Li Shanbing, Wu Jianhua
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On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent [PDF]
, 2006 We consider the nonlinear eigenvalue problem $-{\rm div}(|\nabla u|^{p(x)-2}\nabla u)=\lambda |u|^{q(x)-2}u$ in $\Omega$, $u=0$ on $\partial\Omega$, where $\Omega$ is a bounded open set in $\RR^N$ with smooth boundary and $p$, $q$ are continuous ...
Mihailescu, Mihai, Radulescu, Vicentiu
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Multiple solutions for weighted Kirchhoff equations involving critical Hardy-Sobolev exponent
Advances in Nonlinear Analysis, 2020 In this article, we consider a class of Kirchhoff equations with critical Hardy-Sobolev exponent and indefinite nonlinearity, which has not been studied in the literature. We prove very nicely that this equation has at least two solutions in ℝ3. And some
Shen Zupei, Yu Jianshe
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Generalized Liouville theorem for viscosity solutions to a singular Monge-Ampère equation
Advances in Nonlinear Analysis, 2023 In this article, we study the asymptotic behaviour at infinity for viscosity solutions to a singular Monge-Ampère equation in half space from affine geometry.
Jian Huaiyu, Wang Xianduo
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Regularity of minimizers for double phase functionals of borderline case with variable exponents
Advances in Nonlinear AnalysisThe aim of this article is to study regularity properties of a local minimizer of a double phase functional of type ℱ(u)≔∫Ω(∣Du∣p(x)+a(x)∣Du∣p(x)log(e+∣Du∣))dx,{\mathcal{ {\mathcal F} }}\left(u):= \mathop{\int }\limits_{\Omega }({| Du| }^{p\left(x)}+a ...
Ragusa Maria Alessandra +1 more
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