Results 11 to 20 of about 4,486,095 (208)

Existence Results for Singular p-Biharmonic Problem with HARDY Potential and Critical Hardy-Sobolev Exponent

Axioms
In 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
doaj   +2 more sources

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
doaj   +2 more sources

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, Atika Matallah, Mohammed El Mokhtar Ould El Mokhtar, Khadija Sabri   +3 more
doaj   +2 more sources

On The Two Dimensional Gierer-Meinhardt system with strong coupling [PDF]

, 1999
We construct solutions with a single interior condensation point for the two-dimensional Gierer-Meinhardt system with strong coupling. The condensation point is located at a nondegenerate critical point of the diagonal part of the regular part
Winter, M, Juncheng Wei, Matthias Winter, Wei, J   +3 more
core   +6 more sources

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
doaj   +1 more source

A system with weights and with critical Sobolev exponent

European Journal of Mathematics, 2023
In this paper, we investigate the minimization problem : $$ \inf_{ \displaystyle{\begin{array}{lll} u \in H_0^1(Ω), v \in H_0^1(Ω),\\ \quad \| u \|_{L^{q}} =1, \quad \| v \|_{L^{q}} = 1 \end{array}}} \left[ \frac{1}{2} \int_Ω a(x) \vert \nabla u(x) \vert^2dx + \displaystyle{ \frac{1}{2} \int_Ω b(x) \vert \nabla v (x)\vert^2dx } - λ\displaystyle{\int_Ω ...
Benhamida, Asma, Hadiji, Rejeb
openaire   +2 more sources

On a p-Laplacian system with critical Hardy–Sobolev exponents and critical Sobolev exponents [PDF]

Ukrainian Mathematical Journal, 2012
In this paper, the existence results of positive solutions for the semiliner elliptic system \[ \begin{cases} -\text{div} (|\nabla u_i|^{p-2} \nabla u_i) - \mu \frac{|u_i|^{p-2}u_i}{|x|^p} \\ = \frac{1}{p^*} F_{u_i}(u_1,\ldots,u_k) + \frac{|u_i|^{p^*(t)-2}u_i}{|x|^t} + \lambda \frac{|u_i|^{p-2}u_i}{|x|^s}, \quad x \in \Omega, \\ u_i=0 \quad \text{on} \;
openaire   +3 more sources

On Hamiltonian systems with critical Sobolev exponents

Journal of Differential Equations, 2023
26 ...
Angelo Guimarães, Ederson Moreira dos Santos   +1 more
openaire   +3 more sources

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, Atika Matallah, Safia Benmansour, Mohammed El Mokhtar Ould El Mokhtar   +3 more
doaj   +1 more source

Ground State Solutions for the Nonlinear Schrödinger–Bopp–Podolsky System with Critical Sobolev Exponent

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
doaj   +1 more source