Results 21 to 30 of about 159 (128)

The Pohozaev identity for the anisotropic $p$-Laplacian and estimates of the torsion function [PDF]

Revista Matemática Iberoamericana, 2020
In this paper we prove a Pohozaev identity for the weighted anisotropic p -Laplace operator. As an application of the identity, we deduce the nonexistence of nontrivial solutions of the Dirichlet problem for the weighted anisotropic
Wang, Qiaoling, Xia, Changyu
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Multiple solutions for Kirchhoff type problems involving super-linear and sub-linear terms

Electronic Journal of Qualitative Theory of Differential Equations, 2016
In this paper, we consider the multiplicity of solutions for a class of Kirchhoff type problems with concave and convex nonlinearities on an unbounded domain.
Xiaofei Cao, Junxiang Xu
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Ground-State Solutions for a Class of N-Laplacian Equation with Critical Growth

Abstract and Applied Analysis, 2012
We investigate the existence of ground-state solutions for a class of N-Laplacian equation with critical growth in ℝN. Our proof is based on a suitable Trudinger-Moser inequality, Pohozaev-Pucci-Serrin identity manifold, and mountain pass lemma.
Guoqing Zhang, Jing Sun
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Existence and Nonexistence of Positive Solutions for a Weighted Quasilinear Elliptic System

Journal of Mathematics, 2023
This paper deals with the existence and nonexistence of solutions for the following weighted quasilinear elliptic system, Sμ1,μ2q1,q2−divq1x∇up−2∇u=μ1up−2u+α+1uα−1uvβ+1in Ω−divq2x∇vp−2∇v=μ2vp−2v+β+1uα+1vβ−1vin Ωu>0, v>0in Ωu=v=0on ∂Ω  , where Ω⊂ℜNN≥3,2 ...
Yamina Hamzaoui, Atika Matallah, Mohammed El Mokhtar Ould El Mokhtar   +2 more
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Multiple positive solutions for nonhomogeneous Schrodinger-Poisson systems with Berestycki-Lions type conditions

Electronic Journal of Differential Equations, 2021
In this article, we consider the multiplicity of solutions for nonhomogeneous Schrodinger-Poisson systems under the Berestycki-Lions type conditions.
Lan-Xin Huang, Xing-Ping Wu, Chun-Lei Tang   +2 more
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Existence and Nonexistence for Boundary Problem Involving the p-Biharmonic Operator and Singular Nonlinearities

Journal of Function Spaces, 2023
This article concerns the existence and the nonexistence of solution for the following boundary problem involving the p-biharmonic operator and singular nonlinearities,  Δp2u=uγ−1u+μu−1−α/xβu in Ω and u=∂u/∂n=0 on ∂Ω, where ...
Mohammed El Mokhtar Ould El Mokhtar
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Existence of sign-changing solution with least energy for a class of Kirchhoff-type equation in $\mathbb{R}^N$

Electronic Journal of Qualitative Theory of Differential Equations, 2017
We consider the existence of least energy sign-changing (nodal) solution of Kirchhoff-type elliptic problems with general nonlinearity. Using a truncated technique and constrained minimization on the nodal Nehari manifold, we obtain that the Kirchhoff ...
Xianzhong Yao, Chunlai Mu
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Critical boundary constants and Pohozaev identity [PDF]

Annales de la Faculté des sciences de Toulouse : Mathématiques, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Non-Degeneracy of Peak Solutions to the Schrödinger–Newton System

Advanced Nonlinear Studies, 2021
We are concerned with the following Schrödinger–Newton problem:
Guo Qing, Xie Huafei
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Ground states of coupled critical Choquard equations with weighted potentials [PDF]

Opuscula Mathematica, 2022
In this paper, we are concerned with the following coupled Choquard type system with weighted potentials \[\begin{cases} -\Delta u+V_{1}(x)u=\mu_{1}(I_{\alpha}\!\ast\![Q(x)|u|^{\frac{N+\alpha}{N}}])Q(x)|u|^{\frac{\alpha}{N}-1}u+\beta(I_{\alpha}\!\ast\![Q(
Gaili Zhu, Chunping Duan, Jianjun Zhang, Huixing Zhang   +3 more
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