Results 71 to 80 of about 807 (97)

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

Advances 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

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

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

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

Cahn–Hilliard equation on the boundary with bulk condition of Allen–Cahn type

Advances in Nonlinear Analysis, 2018
The well-posedness of a system of partial differential equations with dynamic boundary conditions is discussed. This system is a sort of transmission problem between the dynamics in the bulk Ω and on the boundary Γ.
Colli Pierluigi, Fukao Takeshi
doaj   +1 more source

Infinitely many free or prescribed mass solutions for fractional Hartree equations and Pohozaev identities

Advanced Nonlinear Studies
In this paper we study the following nonlinear fractional Hartree (or Choquard-Pekar) equation (−Δ)su+μu=(Iα*F(u))F′(u) inRN, ${\left(-{\Delta}\right)}^{s}u+\mu u=\left({I}_{\alpha }{\ast}F\left(u\right)\right){F}^{\prime }\left(u\right)\quad \text{in} {\
Cingolani Silvia, Gallo Marco, Tanaka Kazunaga   +2 more
doaj   +1 more source

Existence and non-existence of solutions to a Hamiltonian strongly degenerate elliptic system

Advances in Nonlinear Analysis, 2017
We study the non-existence and existence of infinitely many solutions to the semilinear degenerate elliptic ...
Anh Cung The, My Bui Kim
doaj   +1 more source

Topological structure of the solution sets to non-autonomous evolution inclusions driven by measures on the half-line

Demonstratio Mathematica
In this article, we investigate a class of measure differential inclusions of evolution type involving non-autonomous operator with nonlocal condition defined on the half-line.
Ma Yuhua, Gu Haibo, Li Ning
doaj   +1 more source

Topological structure of the solution sets to neutral evolution inclusions driven by measures

Demonstratio Mathematica
This study is concerned with topological structure of the solution sets to evolution inclusions of neutral type involving measures on compact intervals.
Gu Haibo, Li Ning
doaj   +1 more source

Liouville's type results for singular anisotropic operators

Analysis and Geometry in Metric Spaces
We present two Liouville-type results for solutions to anisotropic elliptic equations that have a growth of power 2 along the first ss coordinate directions and of power pp, with ...
Maria Cassanello Filippo, Bashayer Majrashi, Vincenzo Vespri   +2 more
doaj   +1 more source

Nonlocal and local models for taxis in cell migration: a rigorous limit procedure. [PDF]

J Math Biol, 2020
Eckardt M, Painter KJ, Surulescu C, Zhigun A.   +3 more
europepmc   +1 more source