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Publikováno v:
Advances in Nonlinear Analysis, Vol 11, Iss 1, Pp 321-356 (2021)
In this paper, we establish the second boundary behavior of the unique strictly convex solution to a singular Dirichlet problem for the Monge-Ampère equation det ( D 2 u ) = b ( x ) g ( − u ) , u < 0 in Ω and u = 0 on ∂ Ω , $$\mbox{ det}(D^{2}
Autor:
Youpei Zhang, Nikolaos S. Papageorgiou
Publikováno v:
Advances in Nonlinear Analysis, Vol 10, Iss 1, Pp 76-101 (2020)
We consider a nonlinear elliptic equation driven by the (p, q)–Laplacian plus an indefinite potential. The reaction is (p − 1)–superlinear and the boundary term is parametric and concave. Using variational tools from the critical point theory t
Publikováno v:
Advances in Nonlinear Analysis, Vol 7, Iss 4, Pp 469-483 (2018)
In this paper, we are concerned with the nonlinear elliptic systems in divergence form under controllable growth condition. We prove that the weak solution u is locally Hölder continuous besides a singular set by using the direct method and classica
Publikováno v:
Advances in Nonlinear Analysis, Vol 7, Iss 1, Pp 1-14 (2018)
In this paper, we study the multiplicity of solutions of the Yamabe problem on product manifolds with minimal boundary via bifurcation theory.
Autor:
Max Jensen
Publikováno v:
Hamilton-Jacobi-Bellman Equations ISBN: 9783110543599
The existence of a unique numerical solution of the semi-Lagrangian method for the simple Monge-Ampere equation is known independently of the convexity of the domain or Dirichlet boundary data - when the Monge-Ampere equation is posed as a Bellman pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::28db3a24784c5ae051154e4d0a89df67
https://doi.org/10.1515/9783110543599-006
https://doi.org/10.1515/9783110543599-006
Autor:
Filippo Santambrogio, D. Wegner, Guillaume Carlier, Edouard Oudet, Maïtine Bergounioux, Martin Rumpf, Michael Hintermüller, Thierry Champion
Publikováno v:
Topological Optimization and Optimal Transport ISBN: 9783110430417
Topological Optimization and Optimal Transport: In the Applied Sciences
Topological Optimization and Optimal Transport: In the Applied Sciences
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::323df25041308859b223d5bc34ae06cf
https://doi.org/10.1515/9783110430417-003
https://doi.org/10.1515/9783110430417-003
Autor:
Václav Mácha
Publikováno v:
Open Mathematics, Vol 12, Iss 10, Pp 1460-1483 (2014)
In the presented work, we study the regularity of solutions to the generalized Navier-Stokes problem up to a C 2 boundary in dimensions two and three. The point of our generalization is an assumption that a deviatoric part of a stress tensor depends
Autor:
Zhijun Zhang
Publikováno v:
Advances in Nonlinear Analysis, Vol 3, Iss 3, Pp 165-185 (2014)
In this paper, for more general f, g and a, b, we obtain conditions about the existence and boundary behavior of solutions to boundary blow-up elliptic problems ▵ u = a ( x ) g ( u ) + b ( x ) f ( u ) | ∇ u | q , x ∈ Ω , u | ∂ Ω = + ∞ $ \
Publikováno v:
Les ambiguïtés de la vie selon Paul Tillich: Travaux issus du XXIe Colloque international de l'Association Paul Tillich d'expression française
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::db51233548f06ed3d648657d77ecd615
https://doi.org/10.1515/9783110486254-013
https://doi.org/10.1515/9783110486254-013
Autor:
Karl K. Sabelfeld, Nikolai A. Simonov
Publikováno v:
Stochastic Methods for Boundary Value Problems ISBN: 9783110479454
Stochastic Methods for Boundary Value Problems: Numerics for High-dimensional PDEs and Applications
Stochastic Methods for Boundary Value Problems: Numerics for High-dimensional PDEs and Applications
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e984bcc5cf0462e340763608934e50be
https://doi.org/10.1515/9783110479454-007
https://doi.org/10.1515/9783110479454-007