Results 121 to 130 of about 52,371 (280)

Existence of solutions for elliptic systems with critical Sobolev exponent

open access: yesElectronic Journal of Differential Equations, 2002
We establish conditions for existence and for nonexistence of nontrivial solutions to an elliptic system of partial differential equations. This system is of gradient type and has a nonlinearity with critical growth.
Pablo Amster   +2 more
doaj  

Infinitely Many Solutions of the Neumann Problem for Elliptic systems in Anisotropic Variable Exponent Sobolev Spaces

open access: yesMoroccan Journal of Pure and Applied Analysis, 2017
In this paper, we prove the existence of in finitely many solutions for the following system by applying a critical point variational principle obtained by Ricceri as a consequence of a more general variational principle and the theory of the ...
Ahmed A.   +2 more
doaj   +1 more source

On a class of Kirchhoff type logarithmic Schrödinger equations involving the critical or supercritical Sobolev exponent

open access: yesJournal of Mathematics and Physics
In this paper, we study a class of Kirchhoff type logarithmic Schrödinger equations involving the critical or supercritical Sobolev exponent. Such problems cannot be studied by applying variational methods in a standard way, because the nonlinearities do
Haining Fan, Yongbin Wang, Lin Zhao
semanticscholar   +1 more source

Nonhomogeneous elliptic problems of Kirchhoff type involving critical Sobolev exponents

open access: yesElectronic Journal of Differential Equations, 2015
This article concerns the existence and the multiplicity of solutions for nonhomogeneous elliptic Kirchhoff problems involving the critical Sobolev exponent, defined on a regular bounded domain of $\mathbb{R}^3$.
Safia Benmansour, Mohammed Bouchekif
doaj  

Spatial-temporal correlations in the speckle pattern for the characterization of cellular motion within a 3D object. [PDF]

open access: yesBiomed Opt Express, 2023
Weil Y   +6 more
europepmc   +1 more source

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