We consider a nonlinear counterpart of a compactness lemma of Simon (1987), which arises naturally in the study of doubly nonlinear equations of elliptic-parabolic type. This paper was motivated by previous results of Simon (1987), recently sharpened by Amann (2000), in the linear setting, and by a nonlinear compactness argument of Alt and Luckhaus (1983)
Abstract. A strong compactness result in the spirit of the Lions-Aubin-Simon lemma is proven for pie...
International audienceWe propose a discrete functional analysis result suitable for proving compactn...
We prove compactness and hence existence for solutions to a class of non linear transport equations....
Let $\Omega\subset \mathbb{R}^{n}$ be a regular domain and $\Phi(s)\in C_{\rm loc}(\mathbb{R})$ be ...
AbstractThe purpose of this work is to give a unified compactness lemma for solving quasilinear prob...
International audienceThis paper explores two generalizations of the classical Aubin–Lions Lemma. Fi...
International audienceThis paper explores two generalizations of the classical Aubin–Lions Lemma. Fi...
AbstractThe purpose of this work is to give a unified compactness lemma for solving quasilinear prob...
AbstractIn this paper, we solve the problem ut + Au + F(u, ▽u) = μ and u(0) = u0 where μ and u0 are ...
In the study of nonlinear elliptic PDEs, variational and topological methods are the essential tools...
Abstract One of the major difficulties in nonlinear elliptic problems involving critical nonlinearit...
The book is dedicated to the study of elliptic problems when lack of compactness occurs. This resear...
The book is dedicated to the study of elliptic problems when lack of compactness occurs. This resear...
AbstractWe give a new optimal compactness criterion which insures that time dependent bounded sequen...
International audienceWe propose a discrete functional analysis result suitable for proving compactn...
Abstract. A strong compactness result in the spirit of the Lions-Aubin-Simon lemma is proven for pie...
International audienceWe propose a discrete functional analysis result suitable for proving compactn...
We prove compactness and hence existence for solutions to a class of non linear transport equations....
Let $\Omega\subset \mathbb{R}^{n}$ be a regular domain and $\Phi(s)\in C_{\rm loc}(\mathbb{R})$ be ...
AbstractThe purpose of this work is to give a unified compactness lemma for solving quasilinear prob...
International audienceThis paper explores two generalizations of the classical Aubin–Lions Lemma. Fi...
International audienceThis paper explores two generalizations of the classical Aubin–Lions Lemma. Fi...
AbstractThe purpose of this work is to give a unified compactness lemma for solving quasilinear prob...
AbstractIn this paper, we solve the problem ut + Au + F(u, ▽u) = μ and u(0) = u0 where μ and u0 are ...
In the study of nonlinear elliptic PDEs, variational and topological methods are the essential tools...
Abstract One of the major difficulties in nonlinear elliptic problems involving critical nonlinearit...
The book is dedicated to the study of elliptic problems when lack of compactness occurs. This resear...
The book is dedicated to the study of elliptic problems when lack of compactness occurs. This resear...
AbstractWe give a new optimal compactness criterion which insures that time dependent bounded sequen...
International audienceWe propose a discrete functional analysis result suitable for proving compactn...
Abstract. A strong compactness result in the spirit of the Lions-Aubin-Simon lemma is proven for pie...
International audienceWe propose a discrete functional analysis result suitable for proving compactn...
We prove compactness and hence existence for solutions to a class of non linear transport equations....
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