Results 41 to 50 of about 106 (85)

Existence of solutions to a diffusive shallow medium equation. [PDF]

open access: yesJ Evol Equ, 2021
Bögelein V, Dietrich N, Vestberg M.
europepmc   +1 more source

Existence and uniqueness of solution for a singular elliptic differential equation

open access: yesAdvances 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

Two solutions for Dirichlet double phase problems with variable exponents

open access: yesAdvanced Nonlinear Studies
This paper is devoted to the study of a double phase problem with variable exponents and Dirichlet boundary condition. Based on an abstract critical point theorem, we establish existence results under very general assumptions on the nonlinear term, such ...
Amoroso Eleonora   +3 more
doaj   +1 more source

Generalized quasi-linear fractional Wentzell problems

open access: yesAdvances in Nonlinear Analysis
Given a bounded (ε,δ)\left(\varepsilon ,\delta )-domain Ω⊆RN\Omega \subseteq {{\mathbb{R}}}^{N} (N≥2N\ge 2) whose boundary Γ≔∂Ω\Gamma := \partial \Omega is a dd-set for d∈(N−p,N)d\in \left(N-p,N), we investigate a generalized quasi-linear elliptic ...
Mesino-Espinosa Efren   +1 more
doaj   +1 more source

A Rothe method for a viscoelastic contact problem involving time-fractional derivatives in locking materials

open access: yesDemonstratio Mathematica
This study examines a contact problem involving viscoelastic materials interacting with a rigid foundation. The constitutive relationship is derived from a time-fractional Kelvin–Voigt model.
Su Guangwang   +3 more
doaj   +1 more source

On singularly perturbed (p, N)-Laplace Schrödinger equation with logarithmic nonlinearity

open access: yesAdvanced Nonlinear Studies
This article focuses on the study of the existence, multiplicity and concentration behavior of ground states as well as the qualitative aspects of positive solutions for a (p, N)-Laplace Schrödinger equation with logarithmic nonlinearity and critical ...
Mahanta Deepak Kumar   +2 more
doaj   +1 more source

Three weak solutions for nonlinear problems of anisotropic double phase type

open access: yesOpen Mathematics
The aim of this paper is to establish the existence of at least three distinct weak solutions for a class of nonlinear elliptic problems with double phase structure under anisotropic Neumann-type boundary conditions.
Ahmed Ahmed   +3 more
doaj   +1 more source

Energy equality for the magnetohydrodynamic equations with fractional dissipation

open access: yesDemonstratio Mathematica
In this paper, the energy equality is established for weak solutions of the magnetohydrodynamic equations with fractional dissipation when certain Shinbrot-type conditions are satisfied.
Zeng Yong
doaj   +1 more source

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