Results 11 to 20 of about 569 (77)

On the solutions to p-Poisson equation with Robin boundary conditions when p goes to +∞

open access: yesAdvances in Nonlinear Analysis, 2022
We study the behaviour, when p→+∞p\to +\infty , of the first p-Laplacian eigenvalues with Robin boundary conditions and the limit of the associated eigenfunctions.
Amato Vincenzo   +3 more
doaj   +1 more source

Quasilinear problems with nonlinear boundary conditions in higher-dimensional thin domains with corrugated boundaries

open access: yesAdvanced Nonlinear Studies, 2023
In this work, we analyze the asymptotic behavior of a class of quasilinear elliptic equations defined in oscillating (N+1)\left(N+1)-dimensional thin domains (i.e., a family of bounded open sets from RN+1{{\mathbb{R}}}^{N+1}, with corrugated bounder ...
Nakasato Jean Carlos   +1 more
doaj   +1 more source

Positivity of the infimum eigenvalue for equations of p(x)-Laplace type in RN

open access: yesBoundary Value Problems, 2013
We study the following elliptic equations with variable exponents −div(ϕ(x,|∇u|)∇u)=λf(x,u)in RN. Under suitable conditions on ϕ and f, we show the existence of positivity of the infimum of all eigenvalues for the problem above, and then give an ...
I. Kim, Yun-Ho Kim
semanticscholar   +2 more sources

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

Normalized solutions for the p-Laplacian equation with a trapping potential

open access: yesAdvances in Nonlinear Analysis, 2023
In this article, we are concerned with normalized solutions for the pp -Laplacian equation with a trapping potential and Lr{L}^{r}-supercritical growth, where r=pr=p or 2.2.
Wang Chao, Sun Juntao
doaj   +1 more source

Flat solutions of the 1-Laplacian equation [PDF]

open access: yes, 2017
For every $f \in L^N(\Omega)$ defined in an open bounded subset $\Omega$ of $\mathbb{R}^N$, we prove that a solution $u \in W_0^{1, 1}(\Omega)$ of the $1$-Laplacian equation ${-}\mathrm{div}{(\frac{\nabla u}{|\nabla u|})} = f$ in $\Omega$ satisfies ...
Orsina, Luigi, Ponce, Augusto C.
core   +3 more sources

Positive Solutions for Resonant (p, q)-equations with convection

open access: yesAdvances in Nonlinear Analysis, 2020
We consider a nonlinear parametric Dirichlet problem driven by the (p, q)-Laplacian (double phase problem) with a reaction exhibiting the competing effects of three different terms. A parametric one consisting of the sum of a singular term and of a drift
Liu Zhenhai, Papageorgiou Nikolaos S.
doaj   +1 more source

A Picone identity for variable exponent operators and applications

open access: yesAdvances in Nonlinear Analysis, 2019
In this work, we establish a new Picone identity for anisotropic quasilinear operators, such as the p(x)-Laplacian defined as div(|∇ u|p(x)−2 ∇ u).
Arora Rakesh   +2 more
doaj   +1 more source

Continuity results for parametric nonlinear singular Dirichlet problems

open access: yesAdvances in Nonlinear Analysis, 2019
In this paper we study from a qualitative point of view the nonlinear singular Dirichlet problem depending on a parameter λ > 0 that was considered in [32].
Bai Yunru   +2 more
doaj   +1 more source

N-Laplacian critical problem with discontinuous nonlinearities

open access: yesAdvances in Nonlinear Analysis, 2015
In this paper, we study the existence of a solution of the N-Laplacian critical problem with discontinuous nonlinearity of Heaviside type in a smooth bounded domain with respect to a positive parameter λ.
Tiwari Sweta
doaj   +1 more source

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