Results 51 to 60 of about 803 (73)

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

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

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

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

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 a Class of Quasilinear Elliptic Equations with Degenerate Coerciveness and Measure Data

open access: yesAdvanced Nonlinear Studies, 2018
We study the existence of measure-valued solutions for a class of degenerate elliptic equations with measure data. The notion of solution is natural, since it is obtained by a regularization procedure which also relies on a standard approximation of the ...
Smarrazzo Flavia
doaj   +1 more source

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

open access: yesAdvances 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

The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in L1

open access: yesAdvances in Nonlinear Analysis, 2019
In bounded n-dimensional domains Ω, the Neumann problem for the parabolic ...
Winkler Michael
doaj   +1 more source

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