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Singular limits of anisotropic Ginzburg-Landau functional
Springer Science and Business Media LLC - - 2020
Xing-Bin Pan
We derive the asymptotic behavior of the minimizers of the anisotropic Ginzburg-Landau functional of superconductivity, as the ratio between the largest and smallest effective masses is very big, hence the effective mass tensor becomes very degenerate.
On the Solvability in Sobolev Spaces and Related Regularity Results for a Variant of the TV-Image Recovery Model: The Vector-Valued Case
Springer Science and Business Media LLC - Tập 2 - Trang 341-355 - 2017
M. Bildhauer, M. Fuchs, J. Müller, C. Tietz
We study classes of variational problems with energy densities of linear growth acting on vector-valued functions. Our energies are strictly convex variants of the TV-regularization model introduced by Rudin, Osher and Fatemi [15] as a powerful tool in the field of image recovery. In contrast to our previous work we here try to figure out conditions under which we can solve these variational probl... hiện toàn bộ
Một ghi chú về nguyên lý so sánh cho phương trình tiến hóa p-Laplacian Dịch bởi AI
Springer Science and Business Media LLC - Tập 7 Số 1 - Trang 65-73 - 2021
Guidolin, P. L., Schütz, L., Ziebell, J. S.
Trong bài báo này, chúng tôi cung cấp một nguyên lý so sánh cho các nghiệm yếu $$u(\cdot ,t),v(\cdot ,t)$$ của hai phương trình p-Laplacian tiến hóa tương tự, cả với các hạng tử nguồn ở dạng phân kỳ và không phân kỳ. Khi chúng tôi xử lý các nghiệm tín hiệu được định nghĩa trong toàn bộ không gian $$\mathbb {R}^n$$, cho mọi t trong khoảng tồn tại tối đa $$[0,T_*)$$, các lập luận được trình bày ở đâ... hiện toàn bộ
#nguyên lý so sánh #nghiệm yếu #phương trình p-Laplacian #tiến hóa #điều kiện ban đầu #không gian L
One-iteration reconstruction algorithm for geometric inverse source problem
Springer Science and Business Media LLC - Tập 4 Số 1 - Trang 177-205 - 2018
Mourad Hrizi, Maatoug Hassine
Existence of weak solutions to a certain homogeneous parabolic Neumann problem involving variable exponents and cross-diffusion
Springer Science and Business Media LLC - Tập 6 - Trang 685-709 - 2020
Gurusamy Arumugam, André H. Erhardt
This paper deals with a homogeneous Neumann problem of a nonlinear diffusion system involving variable exponents dependent on spatial and time variables and cross-diffusion terms. We prove the existence of weak solutions using Galerkin’s approximation and we derive suitable energy estimates. To this end, we establish the needed Poincaré type inequality for variable exponents related to the Neumann... hiện toàn bộ
The anisotropic thermistor problem with degenerate thermal and electric conductivities
Springer Science and Business Media LLC - Tập 9 - Trang 901-918 - 2023
Noureddine Benaichouche, Hocine Ayadi, Fares Mokhtari
In this paper, we prove the existence and regularity of a capacity solution to the anisotropic thermistor problem with the thermal and the electrical conductivities are not bounded below by positive constants.
Existence and uniqueness results for a class of p(x)-Kirchhoff-type problems with convection term and Neumann boundary data
Springer Science and Business Media LLC - Tập 8 Số 1 - Trang 617-633 - 2022
Chakir Allalou, Mohamed El Ouaarabi, Saïd Melliani
Symmetric-Convex Functionals of Linear Growth
Springer Science and Business Media LLC - Tập 2 - Trang 59-71 - 2017
Franz Gmeineder
We discuss existence and regularity theorems for convex functionals of linear growth that depend on the symmetric rather than the full gradients. Due to the failure Korn’s Inequality in the L1-setup, the full weak gradients of minima do not need to exist, and the paper aims for presenting methods that help to overcome these issues as to partial regularity and higher integrability of minimisers.
On the Regularizing Effect of Some Absorption and Singular Lower Order Terms in Classical Dirichlet Problems with L1 Data
Springer Science and Business Media LLC - Tập 2 - Trang 73-85 - 2017
Linda Maria De Cave, Francescantonio Oliva
We are interested in existence and regularity results concerning the solution to the following problem $$\left\{ \begin{array}{l} - \Delta u + {u^8} = \frac{{f\left( x \right)}}{{{u^\gamma }}}in\,\Omega \\ u > 0\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,in\,\Omega \\ u = 0\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,on\,\partial \Omega \\ \end{array} \right.\, $$ where Ω is an open... hiện toàn bộ
Liouville theorems for superlinear parabolic problems with gradient structure
Springer Science and Business Media LLC - Tập 6 - Trang 145-153 - 2020
Pavol Quittner
We improve one of the methods for obtaining Liouville theorems for superlinear parabolic problems. In particular, if we consider a positively homogeneous gradient nonlinearity $$F:{{\mathbb {R}}}^m\rightarrow {{\mathbb {R}}}^m$$ of degree $$p>1$$, where $$n>2$$, $$p... hiện toàn bộ
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