Results 31 to 40 of about 266 (96)

Generalized Picone inequalities and their applications to (p,q)-Laplace equations

Open Mathematics, 2020
We obtain a generalization of the Picone inequality which, in combination with the classical Picone inequality, appears to be useful for problems with the (p,q)(p,q)-Laplace-type operators.
Bobkov Vladimir, Tanaka Mieko
doaj   +1 more source

Positive solutions for a class of singular (p, q)-equations

Advances in Nonlinear Analysis, 2023
We consider a nonlinear singular Dirichlet problem driven by the (p,q)\left(p,q)-Laplacian and a reaction where the singular term u−η{u}^{-\eta } is multiplied by a strictly positive Carathéodory function f(z,u)f\left(z,u).
Leonardi Salvatore, Papageorgiou Nikolaos S.   +1 more
doaj   +1 more source

Existence of Multiple Solutions for Certain Quasilinear Elliptic Problems Under Flux Boundary Conditions

Journal of Mathematics, Volume 2024, Issue 1, 2024.
In this paper, we consider the following quasilinear p⟶⋅‐elliptic problems with flux boundary conditions of the type −∑i=1N∂/∂xiaix,∂u/∂xi+bxupMx−2u=f1x,u−sgnug1x in Ω,∑i=1Naix,∂u/∂xiνi=cxuqx−2u+f2x,u−sgnug2x on ∂Ω.. Using the Fountain theorem and dual Fountain theorem, we prove the existence and multiplicity of solutions for a given problem, subject ...
Ahmed Ahmed, Taghi Ahmedatt, Yongqiang Fu   +2 more
wiley   +1 more source

Bifurcation and multiplicity results for critical problems involving the p-Grushin operator

Advances in Nonlinear Analysis
In this article, we prove a bifurcation and multiplicity result for a critical problem involving a degenerate nonlinear operator Δγp{\Delta }_{\gamma }^{p}. We extend to a generic p>1p\gt 1 a result, which was proved only when p=2p=2. When p≠2p\ne 2, the
Malanchini Paolo, Bisci Giovanni Molica, Secchi Simone   +2 more
doaj   +1 more source

On a nonlinear elliptic problems having large monotonocity with L1-data in weighted Orlicz-Sobolev spaces

Moroccan Journal of Pure and Applied Analysis, 2019
We prove in weighted Orlicz-Sobolev spaces, the existence of entropy solution for a class of nonlinear elliptic equations of Leray-Lions type, with large monotonicity condition and right hand side f ∈ L1(Ω).
Haji Badr El, Moumni Mostafa El, Kouhaila Khaled   +2 more
doaj   +1 more source

Constant sign and nodal solutions for superlinear (p, q)–equations with indefinite potential and a concave boundary term

Advances in Nonlinear Analysis, 2020
We consider a nonlinear elliptic equation driven by the (p, q)–Laplacian plus an indefinite potential. The reaction is (p − 1)–superlinear and the boundary term is parametric and concave.
Papageorgiou Nikolaos S., Zhang Youpei
doaj   +1 more source

On certain nonlinear elliptic systems with indefinite terms

Electronic Journal of Differential Equations, 2002
We consider an elliptic quasi linear systems with indefinite term on a bounded domain. Under suitable conditions, existence and positivity results for solutions are given. Submitted April 2, 2002. Published October 2, 2002.
Ahmed Bensedik, Mohammed Bouchekif
doaj  

Infinitely many solutions for a class of Kirchhoff-type equations

Open Mathematics
In this article, we consider a class of Kirchhoff-type equations: −a+b∫Ω∣∇u∣2dxΔu=f(x,u),x∈Ω,u=0,x∈∂Ω.\left\{\begin{array}{ll}-\left(a+b\mathop{\displaystyle \int }\limits_{\Omega }{| \nabla u| }^{2}{\rm{d}}x\right)\Delta u=f\left(x,u),\hspace{1.0em}& x ...
Zhou Qin, Zeng Jing
doaj   +1 more source

Elliptic equations with one-sided critical growth

Electronic Journal of Differential Equations, 2002
We consider elliptic equations in bounded domains $Omegasubset mathbb{R}^N $ with nonlinearities which have critical growth at $+infty$ and linear growth $lambda$ at $-infty$, with $lambda > lambda_1$, the first eigenvalue of the Laplacian. We prove that
Marta Calanchi, Bernhard Ruf
doaj  

An elliptic problem involving critical Choquard and singular discontinuous nonlinearity

Advanced Nonlinear Studies
The present article investigates the existence, multiplicity and regularity of weak solutions of problem involving a combination of critical Hartree-type nonlinearity along with singular and discontinuous nonlinearities (see (Pλ) $\left({\mathcal{P}}_ ...
Anthal Gurdev Chand, Giacomoni Jacques, Sreenadh Konijeti   +2 more
doaj   +1 more source