Results 91 to 100 of about 52,371 (280)
International Journal for Numerical and Analytical Methods in Geomechanics, Volume 49, Issue 4, Page 1126-1138, March 2025.ABSTRACT Deep geothermal energy, carbon capture and storage, and hydrogen storage hold considerable promise for meeting the energy sector's large‐scale requirements and reducing CO2$\text{CO}_2$ emissions. However, the injection of fluids into the Earth's crust, essential for these activities, can induce or trigger earthquakes.
Diego Gutiérrez‐Oribio +2 more
wiley +1 more source
Boundary Value Problems, 2019 In this paper, we study a fractional Kirchhoff type equation with Hardy–Littlewood–Sobolev critical exponent. By using variational methods, we obtain the existence of mountain-pass type solution and negative energy solutions.
Jichao Wang, Jian Zhang, Yujun Cui
doaj +1 more source
Mathematica, 2019 In this paper we consider a class of nonhomogeneous p-Laplacian elliptic equations with a critical Sobolev exponent and multiple Hardy type terms. By Ekeland variational principale on Nehari manifold and mountain pass lemma, we prove the existence of ...
S. Messirdi, A. Matallah
semanticscholar +1 more source
Geochemistry, Geophysics, Geosystems, Volume 26, Issue 3, March 2025.Abstract The motion of the Adriatic microplate is thought to be highly sensitive to the surrounding subduction zones and the convergence of Africa and Eurasia. However, our understanding of the mantle dynamics in the Mediterranean region and its effect on plate motion remains incomplete. Here, we present a large set of 3D thermomechanical models of the
Christian Schuler +4 more
wiley +1 more source
Sign Changing Solutions for Coupled Critical Elliptic Equations
Journal of Function Spaces, 2020 In this paper, we consider the coupled elliptic system with a Sobolev critical exponent.
Xin Wang, Xiaorui Yue
doaj +1 more source
Exponentials rarely maximize Fourier extension inequalities for cones
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract We prove the existence of maximizers and the precompactness of Lp$L^p$‐normalized maximizing sequences modulo symmetries for all valid scale‐invariant Fourier extension inequalities on the cone in R1+d$\mathbb {R}^{1+d}$. In the range for which such inequalities are conjectural, our result is conditional on the boundedness of the extension ...
Giuseppe Negro +3 more
wiley +1 more source
The Yamabe problem on Dirichlet spaces [PDF]
, 2013 We continue our previous work studying critical exponent semilinear elliptic (and subelliptic) problems which generalize the classical Yamabe problem. In [3] the focus was on metric-measure spaces with an `almost smooth' structure, with stratified spaces
Gilles Carron +3 more
core
Ground states of a non‐local variational problem and Thomas–Fermi limit for the Choquard equation
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract We study non‐negative optimisers of a Gagliardo–Nirenberg‐type inequality ∫∫RN×RN|u(x)|p|u(y)|p|x−y|N−αdxdy⩽C∫RN|u|2dxpθ∫RN|u|qdx2p(1−θ)/q,$$\begin{align*} & \iint\nolimits _{\mathbb {R}^N \times \mathbb {R}^N} \frac{|u(x)|^p\,|u(y)|^p}{|x - y|^{N-\alpha }} dx\, dy\\ &\quad \leqslant C{\left(\int _{{\mathbb {R}}^N}|u|^2 dx\right)}^{p\theta } {\
Damiano Greco +3 more
wiley +1 more source
Global second‐order estimates in anisotropic elliptic problems
Proceedings of the London Mathematical Society, Volume 130, Issue 3, March 2025.Abstract This work deals with boundary value problems for second‐order nonlinear elliptic equations in divergence form, which emerge as Euler–Lagrange equations of integral functionals of the Calculus of Variations built upon possibly anisotropic norms of the gradient of trial functions.
Carlo Alberto Antonini +4 more
wiley +1 more source
On the exterior Neumann problem involving the critical Sobolev exponent
Topological Methods in Nonlinear Analysis, 2004 In this paper we consider the exterior Neumann problem (P) involving the critical Sobolew exponent. We investigate two cases where the coefficient $a$ interferes or not with the spectrum of the Lapalce operator with the Neumann boundary conditions. In both cases we establish the existence of solutions.
Chabrowski, Jan, Girão, Pedro
openaire +4 more sources