In this paper we prove the almost everywhere convergence of the gradient of Palais-Smale sequences, allowing us to apply the Brezis-Lieb lemma. This leads us to show that infima are attained, and thus to prove the existence of optimal solutions for some critical problems. Our method does not use the concentration-compactness principle
A general critical point result established by Ghoussoub is extended to the case of locally Lipschit...
AbstractWe give a condition of existence of bounded solutions for a general quasilinear elliptic pro...
The following typical problem occurs in passing to the limit in some phase field models: for two sequ...
Abstract In this paper we prove the almost everywhere convergence of the gradient of Palais-Smale se...
In this work we give a compactness result which allows us to prove the point-wise convergence of th...
Abstract One of the major difficulties in nonlinear elliptic problems involving critical nonlinearit...
In this paper a global compactness result for the Palais-Smale sequences associated to a broad class...
When using calculus of variations to study nonlinear elliptic boundary-value problems on unbounded d...
In this paper, we consider the following quasilinear equation with critical exponent, a quasilinear ...
AbstractWe consider minimization results for locally Lipschitzian functionals on a Banach space by i...
We prove a representation theorem for Palais-Smale sequences involving the p-Laplacian and critical ...
We prove a representation theorem for Palais-Smale sequences involving the p-Laplacian and critical ...
A natural generalization of the classical theory of critical points is the concept of the theory of ...
The aim of this paper is investigating the existence of one or more weak solutions of a family of co...
Since Palais' pioneer paper in 1963, Condition (C) in both the Palais-Smale version and Cerami's var...
A general critical point result established by Ghoussoub is extended to the case of locally Lipschit...
AbstractWe give a condition of existence of bounded solutions for a general quasilinear elliptic pro...
The following typical problem occurs in passing to the limit in some phase field models: for two sequ...
Abstract In this paper we prove the almost everywhere convergence of the gradient of Palais-Smale se...
In this work we give a compactness result which allows us to prove the point-wise convergence of th...
Abstract One of the major difficulties in nonlinear elliptic problems involving critical nonlinearit...
In this paper a global compactness result for the Palais-Smale sequences associated to a broad class...
When using calculus of variations to study nonlinear elliptic boundary-value problems on unbounded d...
In this paper, we consider the following quasilinear equation with critical exponent, a quasilinear ...
AbstractWe consider minimization results for locally Lipschitzian functionals on a Banach space by i...
We prove a representation theorem for Palais-Smale sequences involving the p-Laplacian and critical ...
We prove a representation theorem for Palais-Smale sequences involving the p-Laplacian and critical ...
A natural generalization of the classical theory of critical points is the concept of the theory of ...
The aim of this paper is investigating the existence of one or more weak solutions of a family of co...
Since Palais' pioneer paper in 1963, Condition (C) in both the Palais-Smale version and Cerami's var...
A general critical point result established by Ghoussoub is extended to the case of locally Lipschit...
AbstractWe give a condition of existence of bounded solutions for a general quasilinear elliptic pro...
The following typical problem occurs in passing to the limit in some phase field models: for two sequ...
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