Results 61 to 70 of about 1,671 (114)

A bifurcation result involving Sobolev trace embedding and the duality mapping of W1,p

Moroccan Journal of Pure and Applied Analysis, 2017
We consider the perturbed nonlinear boundary condition ...
El Khalil Abdelouahed
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Normalized solutions for the p-Laplacian equation with a trapping potential

Advances 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

Symmetries, Hopf fibrations and supercritical elliptic problems

, 2015
We consider the semilinear elliptic boundary value problem \[ -\Delta u=\left\vert u\right\vert ^{p-2}u\text{ in }\Omega,\text{\quad }u=0\text{ on }\partial\Omega, \] in a bounded smooth domain $\Omega$ of $\mathbb{R}^{N}$ for supercritical exponents $p>\
Clapp, Mónica, Pistoia, Angela
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Nonlocal eigenvalue problems with variable exponent

Moroccan Journal of Pure and Applied Analysis, 2018
We consider the nonlocal eigenvalue problem of the following ...
Azroul Elhoussine, Shimi Mohammed
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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
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Multiple solutions for a nonhomogeneous Schr\"odinger-Maxwell system in $R^3$

, 2014
The paper considers the following nonhomogeneous Schr\"odinger-Maxwell system -\Delta u + u+\lambda\phi (x) u =|u|^{p-1}u+g(x),\ x\in \mathbb{R}^3, -\Delta\phi = u^2, \ x\in \mathbb{R}^3, .
Ambrosetti, Ambrosetti, Azzollini, Azzollini, Benci, Benci, Berestycki, Chen, Coclite, D’Aprile, d’Avenia, Huan-Song Zhou, Jeanjean, Jeanjean, Kikuchi, Kikuchi, Ruiz, Salvatore, Struwe, Yang, Yongsheng Jiang, Zhengping Wang, Zhu   +22 more
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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
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Regularity of minimizers for double phase functionals of borderline case with variable exponents

Advances in Nonlinear Analysis
The aim of this article is to study regularity properties of a local minimizer of a double phase functional of type ℱ(u)≔∫Ω(∣Du∣p(x)+a(x)∣Du∣p(x)log(e+∣Du∣))dx,{\mathcal{ {\mathcal F} }}\left(u):= \mathop{\int }\limits_{\Omega }({| Du| }^{p\left(x)}+a ...
Ragusa Maria Alessandra, Tachikawa Atsushi   +1 more
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Non-degeneracy of multi-peak solutions for the Schrödinger-Poisson problem

Advanced Nonlinear Studies, 2023
In this article, we consider the following Schrödinger-Poisson problem: −ε2Δu+V(y)u+Φ(y)u=∣u∣p−1u,y∈R3,−ΔΦ(y)=u2,y∈R3,\left\{\begin{array}{ll}-{\varepsilon }^{2}\Delta u+V(y)u+\Phi (y)u={| u| }^{p-1}u,& y\in {{\mathbb{R}}}^{3},\\ -\Delta \Phi (y)={u}^{2},
Chen Lin, Ding Hui-Sheng, Li Benniao, Ye Jianghua   +3 more
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Nonlinear problems on the Sierpi\'nski gasket

, 2017
This paper concerns with a class of elliptic equations on fractal domains depending on a real parameter. Our approach is based on variational methods.
Ambrosetti, Anello, Bonanno, Bonanno, Breckner, Breckner, Breckner, Breckner, Breckner, Breckner, Brézis, Dušan Repovš, Falconer, Falconer, Falconer, Ferrara, Fukushima, Giovanni Molica Bisci, He, Hu, Kristály, Molica Bisci, Pucci, Rabinowitz, Raffaella Servadei, Ricceri, Ricceri, Ricceri, Ricceri, Strichartz, Strichartz, Struwe   +31 more
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