Results 41 to 50 of about 4,486,095 (208)

The Choquard Equation with Weighted Terms and Sobolev-Hardy Exponent

Journal of Function Spaces, 2018
We study a nonlinear Choquard equation with weighted terms and critical Sobolev-Hardy exponent. We apply variational methods and Lusternik-Schnirelmann category to prove the multiple positive solutions for this problem.
Yanbin Sang, Xiaorong Luo, Yongqing Wang
doaj   +1 more source

Re‐Evaluating the Thermogenic Decarbonation During Large Igneous Provinces Emplacement Using Temperature‐Dependent Thermal Properties

Geochemistry, Geophysics, Geosystems, Volume 27, Issue 9, September 2026.
Abstract Large Igneous Provinces emplacement drives mass extinctions through rapid carbon release, but the relative contributions of magmatic degassing versus thermogenic decarbonation remain debated. Here, we incorporate temperature‐dependent thermal parameters into models of contact metamorphism around intruding sills.
Yan Wang, Jianfeng Yang, Linpei Deng, Liang Zhao   +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

On nonlinear elliptic problems with Hardy-Littlewood-Sobolev critical exponent and Sobolev-Hardy critical exponent

Communications on Pure and Applied Analysis
20 ...
Gu, Guangze, Jevnikar, Aleks
openaire   +2 more sources

A new approach for the analysis of evolution partial differential equations on a finite interval

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract We show that, for certain evolution partial differential equations, the solution on a finite interval (0,ℓ)$(0,\ell)$ can be reconstructed as a superposition of restrictions to (0,ℓ)$(0,\ell)$ of solutions to two associated partial differential equations posed on the half‐lines (0,∞)$(0,\infty)$ and (−∞,ℓ)$(-\infty,\ell)$.
Türker Özsarı, Dionyssios Mantzavinos, Konstantinos Kalimeris   +2 more
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

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

L∞$L^\infty$ compactness of solutions of quasilinear problems and applications

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract For a (not necessarily smooth) bounded domain Ω$\Omega$ of RN$\mathbb {R}^N$, N⩾2$N \geqslant 2$ and a Carathéodory vector‐valued function a:Ω×RN→RN$a:\Omega \times \mathbb {R}^N \rightarrow \mathbb {R}^N$, we study the compactness of the inverse of the Leray–Lions operator A(u)=−div(a(x,∇u))$A(u)=-\text{div}(a(x, \nabla u))$, u∈W01,p(Ω)$u\in ...
D. Arcoya, M. C. M. Rezende, E. A. B. Silva   +2 more
wiley   +1 more source

Approximation theory for weighted Sobolev spaces on curves [PDF]

, 2001
17 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.MR#: MR1882649 (2003c:42002)In this paper we present a definition of weighted Sobolev spaces on curves and find general conditions under which the spaces are complete.
Pestana, Domingo, Romera, Elena, Álvarez, Venancio, Rodríguez, José M.   +3 more
core   +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