Results 91 to 100 of about 13,900 (197)

On Elliptic Systems involving critical Hardy-Sobolev exponents

, 2015
98 ...
Zhong, Xuexiu, Zou, Wenming
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On nonhomogeneous elliptic equations involving critical Sobolev exponent

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1992
Let p = \frac{2\:\mathrm{N}}{\mathrm{N}−2} , \mathrm{N} ≧ 3 be the limiting Sobolev exponent and Ω\subset ℝ^{\mathrm{N}} open bounded set.
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Existence Results for Neumann Problem with Critical Sobolev–Hardy Exponent and Choquard-Type Nonlinearity

Fractal and Fractional
We consider a Neumann problem for the fractional Laplacian involving a nonlocal Choquard-type nonlinearity and Sobolev–Hardy exponent. Under suitable assumptions on the data and using the Nehari manifold method, we discuss the existence problem in ...
Zhenfeng Zhang, Calogero Vetro, Tianqing An, Wei Chen   +3 more
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Regression in tensor product spaces by the method of sieves. [PDF]

Electron J Stat, 2023
Zhang T, Simon N.
europepmc   +1 more source

Existence of solutions for Choquard equations with an L 1 $L^{1}$ -integrable reciprocal potential and upper critical growth

Boundary Value Problems
This paper is dedicated to studying the Choquard-type equation { − Δ u + V ( x ) u = ( I α ∗ | u | p ) | u | p − 2 u + λ | u | q − 2 u , u ∈ H 1 ( R N ) , $$ \left \{ \textstyle\begin{array}{l} - \Delta u + V(x)u = ( {{I_{\alpha }} * {{\left | u \right |}
Ting Guo, Tianle Xia, Xianhua Tang
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The Existence of Positive Solution for Semilinear Elliptic Equations with Multiple an Inverse Square Potential and Hardy-Sobolev Critical Exponents

Abstract and Applied Analysis, 2019
Via the concentration compactness principle, delicate energy estimates, the strong maximum principle, and the Mountain Pass lemma, the existence of positive solutions for a nonlinear PDE with multi-singular inverse square potentials and critical Sobolev ...
M. Khiddi
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Existence of solutions for stress-rate type strain-limiting viscoelasticity in Gevrey spaces. [PDF]

Philos Trans A Math Phys Eng Sci, 2023
Bachmann L, De Anna F, Schlömerkemper A, Şengül Y.   +3 more
europepmc   +1 more source

Multiplicity of solutions to the sum of polyharmonic equations with critical Sobolev exponents

Electronic Journal of Differential Equations, 2015
In this article, we prove multiplicity of solutions for the sum of polyharmonic equation with critical Sobolev exponent. The proof is based upon the methods of weakly lower semi-continuous of the functionals and the Mountain Pass Lemma without (PS ...
Wei Liu, Gao Jia, Lu-Quian Guo
doaj  

Du Bois-Reymond Type Lemma and Its Application to Dirichlet Problem with the p(t)-Laplacian on a Bounded Time Scale. [PDF]

Entropy (Basel), 2021
Mawhin J, Skrzypek E, Szymańska-Dȩbowska K.   +2 more
europepmc   +1 more source

On singular elliptic equations involving critical Sobolev exponent

Journal of Physics: Conference Series, 2014
Given a n–dimensional compact Riemannian manifold (M, g) with n ≥ 5, we consider the following semi-linear elliptic equation: where the functions a, b and h are in suitable Lebesgue spaces, 2 0 a real parameter, f is a smooth positive function and the operator Pg is coercive. Under some additional conditions, we obtain results concering the existence
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