Results 61 to 70 of about 4,702,923 (209)

Topology and Material Optimization in Ultra‐Soft Magneto‐Active Structures: Making Advantage of Residual Anisotropies

Advanced Materials, Volume 38, Issue 51, 11 September 2026.
Residual magnetization induces pronounced mechanical anisotropy in ultra‐soft magnetorheological elastomers, shaping deformation and actuation even without external magnetic fields. This study introduces a computational‐experimental framework integrating magneto‐mechanical coupling into topology optimization for designing soft magnetic actuators with ...
Carlos Perez‐Garcia, Rogelio Ortigosa, Jesús Martínez‐Frutos, Daniel Garcia‐Gonzalez   +3 more
wiley   +1 more source

Strongly indefinite systems with critical sobolev exponents and weights

Applied Mathematics Letters, 2004
Let \(\Omega\) be a bounded smooth domain in \(\mathbb R^N\), \(N\geq 4\) and \(\lambda,\mu\in\mathbb R\). The author deals with the following problem: \[ -\Delta v=\lambda u+K(x)|u|^{p-1}u\text{ in }\Omega, \quad -\Delta u=\mu v+ Q(x)|v|^{q-1}v\text{ in }\Omega, \quad u=v=0\text{ on }\partial\Omega, \tag{1} \] where \(p,q>1\) and coefficients \(K,Q ...
openaire   +1 more source

Multiplicity results for biharmonic equations involving multiple Rellich-type potentials and critical exponents

Boundary Value Problems, 2019
In this paper, a biharmonic equation is investigated, which involves multiple Rellich-type potentials and a critical Sobolev exponent. By using variational methods and analytical techniques, the existence and multiplicity of nontrivial solutions to the ...
Jinguo Zhang, Tsing-San Hsu
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

Existence of multiple positive solutions for quasilinear elliptic systems involving critical hardy–sobolev exponents and sign-changing weight function

Mathematical Modelling and Analysis, 2012
In this paper, we consider a class of quasilinear elliptic systems with weights and the nonlinearity involving the critical Hardy–Sobolev exponent and one sign-changing function.
Nemat Nyamoradi
doaj   +1 more source

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

Existence of solution for a singular elliptic equation with critical Sobolev-Hardy exponents [PDF]

, 2005
Via the variational methods, we prove the existence of a nontrivial solution to a singular semilinear elliptic equation with critical Sobolev-Hardy exponent under certain condi-tions ...
Juan Li
core   +2 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

Existence of solutions for p-Kirchhoff type problems with critical exponent

Electronic Journal of Differential Equations, 2011
We study the existence of solutions for the p-Kirchhoff type problem involving the critical Sobolev exponent, $$displaylines{ -Big[gBig(int_Omega|abla u|^pdxBig)Big]Delta_pu =lambda f(x,u)+|u|^{p^star-2}uquadext{in }Omega,cr u=0quadext{on ...
Ahmed Hamydy, Mohammed Massar, Najib Tsouli   +2 more
doaj  

On the existence of extremals for the Sobolev trace embedding theorem with critical exponent

, 2005
In this paper, the existence problem is studied for extremals of the Sobolev trace inequality W-1,W-p(Omega) --> L-p* (partial derivativeOmega), where Omega is a bounded smooth domain in R-N, p(*) = p(N - 1)/(N - p) is the critical Sobolev exponent, and ...
Bonder, JF, Rossi, JD
core   +1 more source