Results 51 to 60 of about 4,702,923 (209)

A Test Function Method for Weakly Coupled Systems With Derivative‐Type Nonlinearity

Mathematische Nachrichten, Volume 299, Issue 10, Page 3015-3035, October 2026.
ABSTRACT We consider a two by two system of inequalities which include fractional powers of the Laplace operator, coupled through a semilinear term of derivative type. We prove the nonexistence of global‐in‐time weak solutions for powers below the critical curve and possibly on the critical curve.
Marcello D'Abbicco, Antonio Lagioia
wiley   +1 more source

A non-linear problem involving a critical Sobolev exponent

Journal of Mathematical Analysis and Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bae, Soohyun, Hadiji, Rejeb, Vigneron, Francois, Yazidi, Habib   +3 more
openaire   +3 more sources

Effects of Microstructural Heterogeneity on the Macroscopic Spectrum of Elastically Accommodated Grain‐Boundary Sliding

Journal of Geophysical Research: Solid Earth, Volume 131, Issue 10, October 2026.
Abstract Elastically accommodated grain‐boundary sliding (EAGBS) is a plausible source of upper‐mantle seismic attenuation and dispersion, yet classical theory predicts a localized Debye‐like peak that is absent or only weakly expressed in dry olivine experiments. Here we test whether microstructural heterogeneity can explain this discrepancy using 2‐D
Zhengxuan Li, John F. Rudge
wiley   +1 more source

Normalized solutions for a fractional coupled critical Hartree system

Electronic Journal of Qualitative Theory of Differential Equations
We consider the existence of normalized solutions for a fractional coupled Hartree system, with the upper critical exponent in the sense of the Hardy-Littelwood-Sobolev inequality.
Shengbing Deng, Wenshan Luo
doaj   +1 more source

On Schrödinger equation with periodic potential and critical Sobolev exponent

Topological Methods in Nonlinear Analysis, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chabrowski, Jan, Yang, Jianfu
openaire   +5 more sources

On trilinear singular Brascamp–Lieb integrals

Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.
Abstract We classify trilinear singular Brascamp–Lieb forms, extending a result of Demeter and Thiele. We use results from the representation theory of finite‐dimensional algebras, namely the classification of indecomposable representations of the four subspace quiver.
Lars Becker, Polona Durcik, Fred Yu‐Hsiang Lin   +2 more
wiley   +1 more source

Solvability and Boundedness in Chemotaxis‐Consumption Models With Oppositely Acting Nonlocal Sources

Mathematical Methods in the Applied Sciences, Volume 49, Issue 14, Page 16146-16162, 30 September 2026.
ABSTRACT In this paper, we investigate a chemotaxis system featuring a class of external source terms that incorporate both local and nonlocal growth as well as dampening effects. The model describes the evolution of a cell density u$$ u $$, which migrates in response to a chemical signal v$$ v $$, within an impermeable habitat.
Rafael Díaz Fuentes, Fatma Gamze Düzgün, Silvia Frassu, Giuseppe Viglialoro   +3 more
wiley   +1 more source

The existence of positive solutions for the Neumann problem of p-Laplacian elliptic systems with Sobolev critical exponent

Boundary Value Problems, 2022
The paper aims to consider a class of p-Laplacian elliptic systems with a double Sobolev critical exponent. We obtain the existence result of the above problem under the Neumann boundary for some suitable range of the parameters in the systems.
Bingyu Kou, Tianqing An
doaj   +1 more source

Fractional Laplacian equations with critical Sobolev exponent [PDF]

Revista Matemática Complutense, 2015
The paper under review extends in a fractional setting some results concerning the existence of nontrivial solutions for a class of nonlocal elliptic Dirichlet problems involving critical nonlinear terms. The basic analytic tool to establish the existence of a nontrivial solution is the linking method.
Servadei, Raffaella, Valdinoci, Enrico
openaire   +4 more sources

The Dense MORB Fraction Controls the Dynamic Stability and Hydration Potential of the Mantle Transition Zone

Geophysical Research Letters, Volume 53, Issue 18, 28 September 2026.
Abstract The mantle transition zone (MTZ; ∼410–660 km depth) is a major reservoir of water and mid‐ocean ridge basalt (MORB)‐like materials, yet how composition and hydration regulate its physical stability remains unclear. Using geodynamical modeling, we examine the joint effect of water content and dense MORB fraction on the density, viscosity, and ...
Zhensheng Wang, Sierd Cloetingh, Alexander Koptev, Qin Wang, Alessio Lavecchia, István Kovács, Timothy Kusky   +6 more
wiley   +1 more source