Results 21 to 30 of about 52,371 (280)
Filomat, 2022 In this work, by using variational methods we study the existence of nontrivial positive solutions for a class of p-Kirchhoff type problems with critical Sobolev exponent.
A. Matallah, S. Benmansour, H. Benchira
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Problem with Critical Sobolev Exponent and with Weight [PDF]
Chinese Annals of Mathematics, Series B, 2007 We study existence results for a problem with criticical Sobolev exponent and with a positive weight.
Hadiji, Rejeb, Yazidi, Habib
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Boundary Value Problems, 2020 In this paper, we study the Neumann boundary value problem to a quasilinear elliptic equation with the critical Sobolev exponent and critical Hardy–Sobolev exponent, and prove the existence of nontrivial nonnegative solution by means of variational ...
Yuanxiao Li, Xiying Wang
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Kirchhoff-type problems with critical Sobolev exponent in a hyperbolic space
Electronic Journal of Differential Equations, 2022 In this work we study a class of the critical Kirchhoff-type problems in a Hyperbolic space Because of the Kirchhoff term, the nonlinearity \(u^q\) becomes concave for ...
P. C. Carrião +3 more
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Strongly indefinite systems with critical Sobolev exponents [PDF]
Transactions of the American Mathematical Society, 1998 We consider an elliptic system of Hamiltonian type on a bounded domain. In the superlinear case with critical growth rates we obtain existence and positivity results for solutions under suitable conditions on the linear terms. Our proof is based on an adaptation of the dual variational method as applied before to the scalar case. INTRODUCTION Existence
MITIDIERI, ENZO +2 more
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Advances in Nonlinear Analysis, 2021 We are concerned with a class of Choquard type equations with weighted potentials and Hardy–Littlewood–Sobolev lower critical ...
Zhou Shuai, Liu Zhisu, Zhang Jianjun
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A Sobolev-Type Inequality for the Curl Operator and Ground States for the Curl–Curl Equation with Critical Sobolev Exponent [PDF]
Archive for Rational Mechanics and Analysis, 2020 Let Ω⊂R3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Omega \subset ...
Jarosław Mederski, A. Szulkin
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Weighted critical exponents of Sobolev-type embeddings for radial functions
Advanced Nonlinear Studies, 2022 In this article, we prove the upper weighted critical exponents for some embeddings from weighted Sobolev spaces of radial functions into weighted Lebesgue spaces. We also consider the lower critical exponent for certain embedding.
Su Jiabao, Wang Cong
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A singular perturbed problem with critical Sobolev exponent
Topological Methods in Nonlinear Analysis, 2021 This paper deals with the following nonlinear elliptic problem \begin{equation}\label{eq0.1} -\varepsilon^2\Delta u+\omega V(x)u=u^{p}+u^{2^{*}-1},\quad u> 0\quad\text{in}\ \R^N, \end{equation} where $\omega\in\R^{+}$, $N\geq 3$, $p\in (1,2^{*}-1)$ with $2^{*}={2N}/({N-2})$, $\varepsilon> 0$ is a small parameter and $V(x)$ is a given function ...
Mengyao Chen, Qi Li
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Existence of Two Solutions for a Critical Elliptic Problem with Nonlocal Term in ℝ4
Journal of Function Spaces, 2022 In this paper, we prove the existence of two positive solutions for a critical elliptic problem with nonlocal term and Sobolev exponent in dimension four.
Khadidja Sabri +3 more
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