Results 11 to 20 of about 440,485 (323)

Sign-changing solutions for critical equations with Hardy potential [PDF]

Analysis & PDE, 2021
41 pages, Updated version - if any - can be downloaded at http://www.birs.ca/~nassif/
Esposito P., Ghoussoub N., Pistoia A., Vaira G.   +3 more
openaire   +7 more sources

Singular p-biharmonic problem with the Hardy potential

Nonlinear Analysis
The aim of this paper is to study existence results for a singular problem involving the p-biharmonic operator and the Hardy potential. More precisely, by combining monotonicity arguments with the variational method, the existence of solutions is ...
Amor Drissi, Abdeljabbar Ghanmi, Dušan D. Repovš   +2 more
doaj   +6 more sources

Existence and multiplicity of triple weak solutions for a nonlinear elliptic problem with fourth-order operator and Hardy potential

AIMS Mathematics
This study investigates the existence of triple weak solutions for a system of nonlinear elliptic equations with a fourth-order operator. The problem arises in the mathematical modeling of complex physical phenomena.
Khaled Kefi
doaj   +2 more sources

Sublinear elliptic problems with a Hardy potential [PDF]

Nonlinear Analysis: Theory, Methods & Applications, 2014
In this paper we study the positive solutions of sub linear elliptic equations with a Hardy potential which is singular at the boundary. By means of ODE techniques a fairly complete picture of the class of radial solutions is given. Local solutions with a prescribed growth at the boundary are constructed by means of contraction operators. Some of those
Catherine Bandle, Maria Assunta Pozio
openalex   +6 more sources

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   +3 more sources

Semilinear elliptic problems involving Hardy-Sobolev-Maz'ya potential and Hardy-Sobolev critical exponents

Electronic Journal of Differential Equations, 2016
In this article, we study a class of semilinear elliptic equations involving Hardy-Sobolev critical exponents and Hardy-Sobolev-Maz'ya potential in a bounded domain. We obtain the existence of positive solutions using the Mountain Pass Lemma.
Rui-Ting Jiang, Chun-Lei Tang
doaj   +2 more sources

Qualitative properties of solutions to the Dirichlet problem for a Laplace equation involving the Hardy potential with possibly boundary singularity

Mathematics in Engineering, 2023
We consider positive solutions to semilinear elliptic problems with Hardy potential and a first order term in bounded smooth domain $ \Omega $ with $ 0\in \overline \Omega $.
Luigi Montoro , Berardino Sciunzi
doaj   +1 more source

Quasilinear class of noncoercive parabolic problems with Hardy potential and L1-data

Nonautonomous Dynamical Systems, 2023
In this article, we study the following noncoercive quasilinear parabolic problem ∂u∂t−diva(x,t,u,∇u)+ν∣u∣s−1u=λ∣u∣p−2u∣x∣p+finQT,u=0onΣT,u(x,0)=u0inΩ,\left\{\begin{array}{ll}\frac{\partial u}{\partial t}-\hspace{0.1em}\text{div}\hspace{0.1em}a\left(x,t ...
Ahmedatt Taghi, Hajji Youssef, Hjiaj Hassane   +2 more
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Fractional Laplacian with Hardy potential [PDF]

Communications in Partial Differential Equations, 2019
small editorial changes, added literature, new title, 28 pages, 1 ...
Krzysztof Bogdan, Tomasz Grzywny, Tomasz Jakubowski, Dominika Pilarczyk   +3 more
openaire   +2 more sources

Multiplicity of solutions to non-local problems of Kirchhoff type involving Hardy potential

AIMS Mathematics, 2023
The aim of this paper is to establish the existence of a sequence of infinitely many small energy solutions to nonlocal problems of Kirchhoff type involving Hardy potential. To this end, we used the Dual Fountain Theorem as a key tool.
Yun-Ho Kim, Hyeon Yeol Na
doaj   +1 more source