Results 41 to 50 of about 79 (76)

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

Advances 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

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

Advanced 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

Advances 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

Advanced 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

Analele 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

Advanced 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, Nie Zhaohu, Wang Zhi-Qiang   +2 more
doaj   +1 more source

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

Advances 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

Advances in Nonlinear Analysis, 2017
We consider the ...
Chhetri Maya, Drábek Pavel, Shivaji Ratnasingham   +2 more
doaj   +1 more source

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

Forum 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

Solutions of vectorial Hamilton–Jacobi equations are rank-one absolute minimisers in L∞L^{\infty}

Advances in Nonlinear Analysis, 2017
Given the supremal functional E∞⁢(u,Ω′)=ess⁢supΩ′⁡H⁢(⋅,D⁢u){E_{\infty}(u,\Omega^{\prime})=\operatornamewithlimits{ess\,sup}_{\Omega^{% \prime}}H(\,\cdot\,,\mathrm{D}u)}, defined on Wloc1,∞⁢(Ω,ℝN){W^{1,\infty}_{\mathrm{loc}}(\Omega,\mathbb{R}^{N})}, with ...
Katzourakis Nikos
doaj   +1 more source