Results 61 to 70 of about 838 (110)

Global existence and finite-time blowup for a mixed pseudo-parabolic r(x)-Laplacian equation

Advances in Nonlinear Analysis
This article is devoted to the study of the initial boundary value problem for a mixed pseudo-parabolic r(x)r\left(x)-Laplacian-type equation. First, by employing the imbedding theorems, the theory of potential wells, and the Galerkin method, we ...
Cheng Jiazhuo, Wang Qiru
doaj   +1 more source

Existence of Solutions for Choquard Type Elliptic Problems with Doubly Critical Nonlinearities

Advanced Nonlinear Studies, 2021
In this article, we first study the existence of nontrivial solutions to the nonlocal elliptic problems in ℝN{\mathbb{R}^{N}} involving fractional Laplacians and the Hardy–Sobolev–Maz’ya potential.
Shen Yansheng
doaj   +1 more source

Quasilinear elliptic problems with critical exponents and discontinuous nonlinearities

, 2012
Using a recent fixed point theorem in ordered Banach spaces by S. Carl and S. Heikkila, we study the existence of weak solutions to nonlinear elliptic problems −diva(x,∇u) = f (x,u) in a bounded domain Ω ⊂ Rn with Dirichlet boundary condition.
Phuong Le
semanticscholar   +1 more source

Weak Solutions of Fractional Order Pettis Integral Inclusions with Multiple Time Delay in Banach Spaces

, 2013
Mouffak BenchohraUniversit´e de Sidi Bel-Abb`esLaboratoire de Math´ematiques,BP 89, 22000 Sidi Bel-Abb`es, Alg´eriebenchohra@univ-sba.dzFatima-Zohra MostefaiUniversit´e de SaidaD´epartement de Math´ematiques,BP 138 Cit´e Ennasr, 20000, Saida, Alg´erief.z.
M. Benchohra, F. Mostefai
semanticscholar   +1 more source

Global existence for a degenerate haptotaxis model of cancer invasion [PDF]

, 2015
We propose and study a strongly coupled PDE-ODE system with tissue-dependent degenerate diffusion and haptotaxis that can serve as a model prototype for cancer cell invasion through the extracellular matrix. We prove the global existence of weak solutions and illustrate the model behaviour by numerical simulations for a two-dimensional setting.
arxiv   +1 more source

Direct Estimation of Parameters in ODE Models Using WENDy: Weak-Form Estimation of Nonlinear Dynamics. [PDF]

Bull Math Biol, 2023
Bortz DM, Messenger DA, Dukic V.
europepmc   +1 more source

Synchronized Tick Population Oscillations Driven by Host Mobility and Spatially Heterogeneous Developmental Delays Combined. [PDF]

Bull Math Biol, 2021
Zhang X, Wu J.
europepmc   +1 more source

Existence and uniqueness of solution for a singular elliptic differential equation

Advances in Nonlinear Analysis
In this article, we are concerned about the existence, uniqueness, and nonexistence of the positive solution for: −Δu−12(x⋅∇u)=μh(x)uq−1+λu−up,x∈RN,u(x)→0,as∣x∣→+∞,\left\{\begin{array}{l}-\Delta u-\frac{1}{2}\left(x\cdot \nabla u)=\mu h\left(x){u}^{q-1}+\
Gu Shanshan, Yang Bianxia, Shao Wenrui
doaj   +1 more source

On viscosity and weak solutions for non-homogeneous p-Laplace equations

Advances in Nonlinear Analysis, 2017
In this manuscript, we study the relation between viscosity and weak solutions for non-homogeneous p-Laplace equations with lower-order term depending on x, u and ∇⁡u{\nabla u}.
Medina Maria, Ochoa Pablo
doaj   +1 more source

Non-negative global weak solutions for a degenerate parabolic system modeling thin films driven by capillarity [PDF]

Proc. Roy. Soc. Edinburgh Sect. A 142A (2012), 1-15, 2011
We prove global existence of nonnegative weak solutions for a strongly coupled, fourth order degenerate parabolic system governing the motion of two thin fluid layers in a porous medium when capillarity is the sole driving mechanism.
arxiv