Results 51 to 60 of about 538 (68)

An elliptic system with logarithmic nonlinearity

open access: yesAdvances in Nonlinear Analysis, 2017
In the present paper, we study the existence of solutions for some classes of singular systems involving the Δp⁢(x){\Delta_{p(x)}} and Δq⁢(x){\Delta_{q(x)}} Laplacian operators. The approach is based on bifurcation theory and the sub-supersolution method
Alves Claudianor   +2 more
doaj   +1 more source

Nodal Solutions for a Quasilinear Elliptic Equation Involving the p-Laplacian and Critical Exponents

open access: yesAdvanced Nonlinear Studies, 2018
This paper is concerned with the following type of quasilinear elliptic equations in ℝN{\mathbb{R}^{N}} involving the p-Laplacian and critical growth:
Deng Yinbin, Peng Shuangjie, Wang Jixiu
doaj   +1 more source

Quasilinear elliptic systems in divergence form associated to general nonlinearities

open access: yesAdvances in Nonlinear Analysis, 2018
The paper is concerned with a priori estimates of positive solutions of quasilinear elliptic systems of equations or inequalities in an open set of Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}} associated to general continuous nonlinearities satisfying a local ...
D’Ambrosio Lorenzo, Mitidieri Enzo
doaj   +1 more source

Quasilinear Riccati-Type Equations with Oscillatory and Singular Data

open access: yesAdvanced Nonlinear Studies, 2020
We characterize the existence of solutions to the quasilinear Riccati-type ...
Nguyen Quoc-Hung, Phuc Nguyen Cong
doaj   +1 more source

Eigenvalues for Finsler p-Laplacian with zero Dirichlet boundary condition

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this paper we analyze the problem - Qpu(x) = λu(x) when x∈Ω with u(x) = 0 when x∈Ω , where Ω⊂ℝN is a bounded domain, Qp stands for Finsler p-Laplacian and \ {2} is a given ...
Fărcăşeanu Maria
doaj   +1 more source

Sign-Changing Solutions of Fractional 𝑝-Laplacian Problems

open access: yesAdvanced Nonlinear Studies, 2019
In this paper, we obtain the existence and multiplicity of sign-changing solutions of the fractional p-Laplacian problems by applying the method of invariant sets of descending flow and minimax theory.
Chang Xiaojun   +2 more
doaj   +1 more source

Uniqueness of solutions to singular p-Laplacian equations with subcritical nonlinearity

open access: yesAdvances in Nonlinear Analysis, 2017
We present a geometric approach to the study of quasilinear elliptic p-Laplacian problems on a ball in ℝn${\mathbb{R}^{n}}$ using techniques from dynamical systems.
Maultsby Bevin
doaj   +1 more source

Analysis of positive solutions for classes of quasilinear singular problems on exterior domains

open access: yesAdvances in Nonlinear Analysis, 2017
We consider the ...
Chhetri Maya   +2 more
doaj   +1 more source

Existence and regularity for a p-Laplacian problem in ℝN with singular, convective, and critical reaction

open access: yesAdvances in Nonlinear Analysis
We prove an existence result for a p-Laplacian problem set in the whole Euclidean space and exhibiting a critical term perturbed by a singular, convective reaction.
Baldelli Laura, Guarnotta Umberto
doaj   +1 more source

Two uniqueness results in the inverse boundary value problem for the weighted p-Laplace equation

open access: yesForum of Mathematics, Sigma
In this paper we prove a general uniqueness result in the inverse boundary value problem for the weighted p-Laplace equation in the plane, with smooth weights.
Catalin Carstea, Ali Feizmohammadi
doaj   +1 more source

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