Results 61 to 70 of about 840 (100)

On Weak Solutions to Parabolic Problem Involving the Fractional p-Laplacian via Young Measures

Annales Mathematicae Silesianae
In this paper, we study the local existence of weak solutions for parabolic problem involving the fractional p-Laplacian. Our technique is based on the Galerkin method combined with the theory of Young measures.
Talibi Ihya, Balaadich Farah, El Boukari Brahim, El Ghordaf Jalila   +3 more
doaj   +1 more source

Maximum principles for Laplacian and fractional Laplacian with critical integrability

, 2019
In this paper, we study maximum principles for Laplacian and fractional Laplacian with critical integrability. We first consider $-\Delta u(x)+c(x)u(x)\geq 0$ in $B_1$ where $c(x)\in L^{p}(B_1)$, $B_1\subset \mathbf{R}^n$. As is known that $p=\frac{n}{2}$
Lü, Yingshu
core  

Fractional Dirichlet problems with singular and non-locally convective reaction

Advances in Nonlinear Analysis
In this article, the existence of positive weak solutions to a Dirichlet problem driven by the fractional (p,q)\left(p,q)-Laplacian and with reaction both weakly singular and non-locally convective (i.e., depending on the distributional Riesz gradient of
Gambera Laura, Marano Salvatore A.
doaj   +1 more source

Two solutions for Dirichlet double phase problems with variable exponents

Advanced 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, Bonanno Gabriele, D’Aguì Giuseppina, Winkert Patrick   +3 more
doaj   +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

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

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

J Evol Equ, 2021
Bögelein V, Dietrich N, Vestberg M.
europepmc   +1 more source

Singular boundary behaviour and large solutions for fractional elliptic equations. [PDF]

J Lond Math Soc, 2023
Abatangelo N, Gómez-Castro D, Vázquez JL.   +2 more
europepmc   +1 more source

Generalized quasi-linear fractional Wentzell problems

Advances 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, Vélez-Santiago Alejandro   +1 more
doaj   +1 more source