Objective
Sobolev spaces were introduced as solution spaces of elliptic partial differential equations. The theoretical study of Sobolev spaces is mainly motivated by the applications to the resolution of partial differential equations. Weighted Sobolev spaces allow to solve degenerate partial differential equations. In this respect, compact embeddings of Sobolev spaces play a crucial role. In recent works, V. Gol'dshtein and A. Ukhlov obtained compact embedding properties for weighted Sobolev spaces, considering domains which are homeomorphic images of a smooth bounded domain via mappings from a certain class, called weighted quasiconformal mappings (or mappings with bounded mean distorsion). In this project, we plan to study several degenerate partial differential equations involving Dirichlet conditions. To do this, we will introduce a double-weighted Sobolev space, which is more appropriate with respect to the considered type of nonlinear equations. We will first study the abstract, analytic properties of this new nonstandard class of spaces. Then, we will study their embeddings in a Lebesgue space, also using the relatively new theory of weighted quasiconformal mappings. Finally, we will apply these abstract results in order to construct solutions of boundary value problems for the elliptic equations we consider.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences mathematics pure mathematics mathematical analysis differential equations partial differential equations
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP7-PEOPLE-2010-IEF
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Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
84105 Beer Sheva
Israel
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.