Results 1 to 10 of about 62 (52)

On double phase Kirchhoff problems with singular nonlinearity

open access: yesAdvances in Nonlinear Analysis, 2023
In this paper, we study multiplicity results for double phase problems of Kirchhoff type with right-hand sides that include a parametric singular term and a nonlinear term of subcritical growth.
Arora Rakesh   +3 more
doaj   +1 more source

On singular quasilinear elliptic equations with data measures

open access: yesAdvances in Nonlinear Analysis, 2021
The aim of this work is to study a quasilinear elliptic equation with singular nonlinearity and data measure. Existence and non-existence results are obtained under necessary or sufficient conditions on the data, where the main ingredient is the ...
Alaa Nour Eddine   +2 more
doaj   +1 more source

Existence of ground state solutions for critical quasilinear Schrödinger equations with steep potential well

open access: yesAdvanced Nonlinear Studies, 2022
We study the existence of solutions for the quasilinear Schrödinger equation with the critical exponent and steep potential well. By using a change of variables, the quasilinear equations are reduced to a semilinear one, whose associated functionals ...
Xue Yan-Fang   +2 more
doaj   +1 more source

Nehari-type ground state solutions for a Choquard equation with doubly critical exponents

open access: yesAdvances in Nonlinear Analysis, 2020
This paper deals with the following Choquard equation with a local nonlinear perturbation:
Chen Sitong, Tang Xianhua, Wei Jiuyang
doaj   +1 more source

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

open access: yesOpen 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

Existence of two solutions for singular Φ-Laplacian problems

open access: yesAdvanced Nonlinear Studies, 2022
Existence of two solutions to a parametric singular quasi-linear elliptic problem is proved. The equation is driven by the Φ\Phi -Laplacian operator, and the reaction term can be nonmonotone.
Candito Pasquale   +2 more
doaj   +1 more source

Existence results for double phase problems depending on Robin and Steklov eigenvalues for the p-Laplacian

open access: yesAdvances in Nonlinear Analysis, 2021
In this paper we study double phase problems with nonlinear boundary condition and gradient dependence. Under quite general assumptions we prove existence results for such problems where the perturbations satisfy a suitable behavior in the origin and at ...
Manouni Said El   +2 more
doaj   +1 more source

Some recent results on singular p-Laplacian equations

open access: yesDemonstratio Mathematica, 2022
A short account of some recent existence, multiplicity, and uniqueness results for singular p-Laplacian problems either in bounded domains or in the whole space is performed, with a special attention to the case of convective reactions.
Guarnotta Umberto   +2 more
doaj   +1 more source

A singularity as a break point for the multiplicity of solutions to quasilinear elliptic problems

open access: yesAdvances in Nonlinear Analysis, 2020
In this paper we deal with the elliptic ...
López-Martínez Salvador
doaj   +1 more source

Existence and multiplicity of solutions for a quasilinear system with locally superlinear condition

open access: yesAdvances in Nonlinear Analysis, 2023
We investigate the existence and multiplicity of weak solutions for a nonlinear Kirchhoff type quasilinear elliptic system on the whole space RN{{\mathbb{R}}}^{N}. We assume that the nonlinear term satisfies the locally super-(m1,m2)\left({m}_{1},{m}_{2})
Liu Cuiling, Zhang Xingyong
doaj   +1 more source

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