Du Bois-Reymond Type Lemma and Its Application to Dirichlet Problem with the p(t)-Laplacian on a Bounded Time Scale. [PDF]
Mawhin J+2 more
europepmc +1 more source
Nonlinear elliptic equations with critical Sobolev exponent in nearly starshaped domains [PDF]
Riccardo Molle, Donato Passaseo
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Existence of solutions for elliptic systems with critical Sobolev exponent
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
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
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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
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]
Weil Y+6 more
europepmc +1 more source
Echo Chains as a Linear Mechanism: Norm Inflation, Modified Exponents and Asymptotics. [PDF]
Deng Y, Zillinger C.
europepmc +1 more source
Uniqueness of Solutions to Nonlinear Schrödinger Equations from their Zeros. [PDF]
Kehle C, Ramos JPG.
europepmc +1 more source
Existence and multiplicity for perturbations of an equation involving a Hardy inequality and the critical Sobolev exponent in the whole of $\Bbb R^N$ [PDF]
Boumediene Abdellaoui+2 more
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