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On a class of quasilinear elliptic problems involving critical exponents
(World Scientific Publ Co Pte LtdSingaporeSingapura, 2000)
Sign Changing Tower of Bubbles for an Elliptic Problem at the Critical Exponent in Pierced Non-Symmetric Domains
(TAYLOR & FRANCIS INC, 2010)
We consider the problem [image omitted] in epsilon, u=0 on epsilon, where epsilon: =\{B(a, epsilon) B(b, epsilon)}, with a bounded smooth domain in N, N epsilon 3, ab two points in , and epsilon is a positive small parameter. ...
Local existence conditions for an equations involving the p(x) -Laplacian with critical exponent in RN
(Springer, 2017-04)
The purpose of this paper is to formulate sufficient existence conditions for a critical equation involving the p(x)-Laplacian of the form (0.1) below posed in RN. This equation is critical in the sense that the source ...
Large critical exponents for some second order uniformly elliptic operators
(2007)
In this paper we investigate the critical exponents of two families of Pucci's extremal operators. The notion of critical exponent that we have chosen for these fully nonlinear operators which are not variational is that ...
On semilinear elliptic problems involving critical exponents
(PERGAMON-ELSEVIER SCIENCE LTD, 2009)
In this paper we study Brezis-Nirenberg type results for radial solutions of a semilinear elliptic equation of the form
Existence of solution to a critical trace equation with variable exponent
(IOS Press, 2015-06)
In this paper we study sufficient local conditions for the existence of non-trivial solution to a critical equation for the p(x)-Laplacian where the critical term is placed as a source through the boundary of the domain. ...
A Gamma convergence approach to the critical Sobolev embedding in variable exponent spaces
(Academic Press Inc Elsevier Science, 2016-10)
In this paper, we study the critical Sobolev embeddings W1,p(.)(Ω)⊂Lp*(.)(Ω) for variable exponent Sobolev spaces from the point of view of the Γ-convergence. More precisely we determine the Γ-limit of subcritical approximation ...