Results 51 to 60 of about 812 (79)

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

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

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
doaj   +1 more source

A Greedy Method for Solving Classes of PDE Problems

, 2019
Motivated by the successful use of greedy algorithms for Reduced Basis Methods, a greedy method is proposed that selects N input data in an asymptotically optimal way to solve well-posed operator equations using these N data.
Schaback, Robert
core  

The structure of 𝓐-free measures revisited

Advances in Nonlinear Analysis, 2020
We refine a recent result on the structure of measures satisfying a linear partial differential equation 𝓐μ = σ, μ, σ are Radon measures, considering the measure μ(x) = g(x)dx + μus(x̃)(μs(x̄) + dx̄) where x = (x̃,x̄) ∈ ℝk × ℝd−k, μus is a uniformly ...
Mitrovic D., Vujadinović Dj.
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

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

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