Results 11 to 20 of about 4,702,923 (209)
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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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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AxiomsIn this article, we consider the singular p-biharmonic problem involving Hardy potential and critical Hardy–Sobolev exponent. Firstly, we study the existence of ground state solutions by using the minimization method on the associated Nehari manifold ...
Gurpreet Singh
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On p-Laplace Equations with Singular Nonlinearities and Critical Sobolev Exponent
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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The Choquard Equation with Weighted Terms and Sobolev-Hardy Exponent
Journal of Function Spaces, 2018 We study a nonlinear Choquard equation with weighted terms and critical Sobolev-Hardy exponent. We apply variational methods and Lusternik-Schnirelmann category to prove the multiple positive solutions for this problem.
Yanbin Sang, Xiaorong Luo, Yongqing Wang
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Existence results for elliptic systems involving critical Sobolev exponents [PDF]
Electronic Journal of Differential Equations, 2004 n this paper, we study the existence and nonexistence of positive solutions of an elliptic system involving critical Sobolev exponent perturbed by a weakly coupled term.
Mohammed Bouchekif, Yasmina Nasri
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Existence of solutions for a fractional elliptic problem with critical Sobolev-Hardy nonlinearities in R^N [PDF]
Electronic Journal of Differential Equations, 2018 In this article, we study the fractional elliptic equation with critical Sobolev-Hardy nonlinearity $$\displaylines{ (-\Delta)^{\alpha} u+a(x) u=\frac{|u|^{2^*_{s}-2}u}{|x|^s}+k(x)|u|^{q-2}u,\cr u\in H^\alpha(\mathbb{R}^N), }$$ where ...
Lingyu Jin, Shaomei Fang
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Solutions of p(x)-Laplacian equations with critical exponent and perturbations in R^N
Electronic Journal of Differential Equations, 2012 Based on the theory of variable exponent Sobolev spaces, we study a class of $p(x)$-Laplacian equations in $mathbb{R}^{N}$ involving the critical exponent.
Xia Zhang, Yongqiang Fu
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Fractal and FractionalWe 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 +3 more
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Singular $p$-biharmonic problems involving the Hardy-Sobolev exponent [PDF]
, 2023 This article concerns the existence and multiplicity of solutions for the singular p-biharmonic problem involving the Hardy potential and the critical Hardy-Sobolev exponent.
Drissi, Amor +7 more
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