Digitalni repozitorij raziskovalnih organizacij Slovenije

Iskanje po repozitoriju
A+ | A- | Pomoč | SLO | ENG

Iskalni niz: išči po
išči po
išči po
išči po

Možnosti:
  Ponastavi


Iskalni niz: "ključne besede" (existence of solutions) .

1 - 2 / 2
Na začetekNa prejšnjo stran1Na naslednjo stranNa konec
1.
Singular $p$-biharmonic problem with the Hardy potential
Amor Drissi, Abdeljabbar Ghanmi, Dušan Repovš, 2024, izvirni znanstveni članek

Povzetek: 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 established. By using the Nehari manifold method, the multiplicity of solutions is proved. An example is also given to illustrate the importance of these results.
Ključne besede: p-biharmonic equation, variational methods, existence of solutions, Hardy potential, Nehari manifold, fibering map
Objavljeno v DiRROS: 08.07.2024; Ogledov: 57; Prenosov: 30
.pdf Celotno besedilo (436,45 KB)
Gradivo ima več datotek! Več...

2.
Fractional Sobolev spaces with kernel function on compact Riemannian manifolds
Ahmed Aberqi, Abdesslam Ouaziz, Dušan Repovš, 2024, izvirni znanstveni članek

Povzetek: In this paper, a new class of Sobolev spaces with kernel function satisfying a Lévy-integrability-type condition on compact Riemannian manifolds is presented. We establish the properties of separability, reflexivity, and completeness. An embedding result is also proved. As an application, we prove the existence of solutions for a nonlocal elliptic problem involving the fractional $p(\cdot, \cdot)$-Laplacian operator. As one of the main tools, topological degree theory is applied.
Ključne besede: nonlinear elliptic problem, fractional Sobolev spaces, kernel function, Lévy-integrability condition, compact Riemannian manifolds, existence of solutions, topological degree theory
Objavljeno v DiRROS: 19.02.2024; Ogledov: 296; Prenosov: 122
.pdf Celotno besedilo (507,44 KB)
Gradivo ima več datotek! Več...
Iskanje izvedeno v 0.07 sek.
Na vrh