Results 51 to 60 of about 840 (100)

Qualitative properties of solutions to the viscoelastic beam equation with damping and logarithmic nonlinear source terms

Advances in Nonlinear Analysis
In this article, we consider the initial-boundary value problem for a class of viscoelastic extensible beam equations with logarithmic source term, strong damping term, and weak damping term.
Gao Yanchao, Pan Bingbai
doaj   +1 more source

Nonlinear elliptic boundary value problems with convection term and Hardy potential

Moroccan Journal of Pure and Applied Analysis, 2023
In this paper, we deal with a nonlinear elliptic problems that incorporate a Hardy potential and a nonlinear convection term. We establish the existence and regularity of solutions under various assumptions concerning the summability of the source term f.
Achhoud Fessel, Bouajaja Abdelkader, Redwan Hicham   +2 more
doaj   +1 more source

Infinitely many normalized solutions for Schrödinger equations with local sublinear nonlinearity

Demonstratio Mathematica
In this article, we investigate the following Schrödinger equation: −Δu=h(x)g(u)+λuinRN,∫RN∣u∣2dx=au∈H1(RN),\left\{\begin{array}{ll}-\Delta u=h\left(x)g\left(u)+\lambda u\hspace{1.0em}& \hspace{-0.2em}\text{in}\hspace{0.1em}\hspace{0.33em}{{\mathbb{R}}}^{
Xu Qin, Li Gui-Dong
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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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A fractional profile decomposition and its application to Kirchhoff-type fractional problems with prescribed mass

Advances in Nonlinear Analysis
In this article, we study the following fractional Kirchhoff-type problems with critical and sublinear nonlinearities: a+b∬RN×RN∣u(x)−u(y)∣2∣x−y∣N+2sdxdy(−Δ)su=λuq−1+u2s*−1,u>0,inΩ,u=0,inRN\Ω,∫RNu2dx=c2,\left\{\begin{array}{l}\left(a+b\mathop{\iint ...
Tian Junshan, Zhang Binlin
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Equivalence between a time-fractional and an integer-order gradient flow: The memory effect reflected in the energy

Advances in Nonlinear Analysis, 2022
Time-fractional partial differential equations are nonlocal-in-time and show an innate memory effect. Previously, examples like the time-fractional Cahn-Hilliard and Fokker-Planck equations have been studied.
Fritz Marvin, Khristenko Ustim, Wohlmuth Barbara   +2 more
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Existence of positive solutions of elliptic mixed boundary value problem

Boundary Value Problems, 2012
In this paper, we use variational methods to prove two existence of positive solutions of the following mixed boundary value problem: {−Δu=f(x,u),x∈Ω,u=0,x∈σ,∂u∂ν=g(x,u),x∈Γ.
Guofa Li
semanticscholar   +1 more source

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
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Regularizing Effect of Two Hypotheses on the Interplay Between Coefficients in Some Hamilton–Jacobi Equations

Advanced Nonlinear Studies, 2021
We study of the regularizing effect of the interaction between the coefficient of the zero-order term and the lower-order term in quasilinear Dirichlet problems whose model ...
Arcoya David, Boccardo Lucio
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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