Results 11 to 20 of about 53,896 (278)
On p-Laplace Equations with Singular Nonlinearities and Critical Sobolev Exponent [PDF]
Journal of Function Spaces, 2022 In this paper, we deal with p-Laplace equations with singular nonlinearities and critical Sobolev exponent. By using the Nehari manifold, Mountain Pass theorem, and Maximum principle theorem, we prove the existence of at least four distinct nontrivial ...
Mohammed El Mokhtar ould El Mokhtar
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Weighted critical exponents of Sobolev-type embeddings for radial functions [PDF]
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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The Existence Result for a p-Kirchhoff-Type Problem Involving Critical Sobolev Exponent
Journal of Function Spaces, 2023 In this paper, by using the mountain pass theorem and the concentration compactness principle, we prove the existence of a positive solution for a p-Kirchhoff-type problem with critical Sobolev exponent.
Hayat Benchira +3 more
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Quasilinear problems with critical Sobolev exponent for the Grushin p-Laplace operator [PDF]
Nonlinear Differential Equations and Applications NoDEAWe study the following class of quasilinear degenerate elliptic equations with critical nonlinearity -Δγ,pu=λ|u|q-2u+upγ∗-2uinΩ⊂RN,u=0on∂Ω,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \
Somnath Gandal +2 more
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On the Sobolev trace Theorem for variable exponent spaces in the critical range [PDF]
, 2013 In this paper we study the Sobolev Trace Theorem for variable exponent spaces with critical exponents. We find conditions on the best constant in order to guaranty the existence of extremals.
Julián Fernández Bonder +2 more
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Existence and multiplicity of solutions for Kirchhof-type problems with Sobolev–Hardy critical exponent [PDF]
Boundary Value Problems, 2021 In this paper, we discuss a class of Kirchhof-type elliptic boundary value problem with Sobolev–Hardy critical exponent and apply the variational method to obtain one positive solution and two nontrivial solutions to the problem under certain conditions.
Hongsen Fan, Zhiying Deng
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Advanced Nonlinear Studies, 2020 In this paper, we study the existence of ground state solutions for the nonlinear Schrödinger–Bopp–Podolsky system with critical Sobolev ...
Li Lin, Pucci Patrizia, Tang Xianhua
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Solutions for the quasi-linear elliptic problems involving the critical Sobolev exponent [PDF]
Journal of Inequalities and Applications, 2017 In this article, we study the existence and multiplicity of positive solutions for the quasi-linear elliptic problems involving critical Sobolev exponent and a Hardy term.
Yanbin Sang, Siman Guo
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Calculus of Variations and Partial Differential Equations, 2013 We obtain an improved Sobolev inequality in H^s spaces involving Morrey norms. This refinement yields a direct proof of the existence of optimizers and the compactness up to symmetry of optimizing sequences for the usual Sobolev embedding. More generally,
Giampiero Palatucci, Adriano Pisante
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Multiple solutions for weighted Kirchhoff equations involving critical Hardy-Sobolev exponent [PDF]
Advances in Nonlinear Analysis, 2020 In this article, we consider a class of Kirchhoff equations with critical Hardy-Sobolev exponent and indefinite nonlinearity, which has not been studied in the literature. We prove very nicely that this equation has at least two solutions in ℝ3. And some
Shen Zupei, Yu Jianshe
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