Results 1 to 10 of about 53 (53)

On the spectrum of Robin boundary p-Laplacian problem

Moroccan Journal of Pure and Applied Analysis, 2019
We study the following nonlinear eigenvalue problem with nonlinear Robin boundary ...
Khalil Abdelouahed El
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Eigenvalues for a class of singular problems involving p(x)-Biharmonic operator and q(x)-Hardy potential

Advances in Nonlinear Analysis, 2019
In this paper, we consider the nonlinear eigenvalue problem:
Khalil Abdelouahed El, Laghzal Mohamed, Alaoui My Driss Morchid, Touzani Abdelfattah   +3 more
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Multiplicity result for non-homogeneous fractional Schrodinger--Kirchhoff-type equations in ℝn

Advances in Nonlinear Analysis, 2018
In this paper we consider the existence of multiple solutions for the non-homogeneous fractional p-Laplacian equations of Schrödinger–Kirchhoff ...
Torres Ledesma César E.
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Radial solutions of inhomogeneous fourth order elliptic equations and weighted Sobolev embeddings

Advances in Nonlinear Analysis, 2015
We deal with a class of inhomogeneous elliptic problems involving the biharmonic operator Δ2u + V(|x|)|u|q-2u = Q(|x|)f(u), u ∈ D02,2(ℝN), where Δ2 is the biharmonic operator and V, Q are singular continuous functions.
Demarque Reginaldo, Miyagaki Olimpio H.
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Trudinger–Moser Inequalities in Fractional Sobolev–Slobodeckij Spaces and Multiplicity of Weak Solutions to the Fractional-Laplacian Equation

Advanced Nonlinear Studies, 2019
In line with the Trudinger–Moser inequality in the fractional Sobolev–Slobodeckij space due to [S. Iula, A note on the Moser–Trudinger inequality in Sobolev–Slobodeckij spaces in dimension one, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.
Zhang Caifeng
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On the existence of a weak solution for some singular p⁢(x)p(x)-biharmonic equation with Navier boundary conditions

Advances in Nonlinear Analysis, 2018
In the present paper, we investigate the existence of solutions for the following inhomogeneous singular equation involving the p⁢(x){p(x)}-biharmonic operator:
Kefi Khaled, Saoudi Kamel
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Existence and nonexistence of normalized solutions for the Biharmonic equation with combined nonlinearities

Demonstratio Mathematica
This article is devoted to the study of the existence and nonexistence of normalized solutions for the following biharmonic Schrödinger equation with combined power-type ...
Liu Xiang, Huang Na, Lei Chunyu
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On existence and multiplicity of solutions for a biharmonic problem with weights via Ricceri's theorem

Demonstratio Mathematica
In this work, we consider a special nondegenerate equation with two weights. We investigate multiplicity result of this biharmonic equation. Mainly, our purpose is to obtain this result using an alternative Ricceri’s theorem.
Unal Cihan
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Neumann problem with a discontinuous nonlinearity

Demonstratio Mathematica
This study is devoted to proving the existence of weak solutions for a nonlinear elliptic problem with Neumann-type boundary data. The problem is driven by a discontinuous power nonlinearity and a nonsmooth prescribed data. Additionally, we aim to derive
Choudhuri Debajyoti, Repovš Dušan D., Saoudi Kamel   +2 more
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Multiple solutions for a class of fourth-order elliptic equations with critical growth

Open Mathematics
In this article, we study the semilinear biharmonic problem with a critical growth: Δ2u=μQ(x)∣u∣p−2u+V(x)∣u∣2**−2uinΩ,u=Δu=0on∂Ω,\left\{\begin{array}{ll}{\Delta }^{2}u=\mu Q\left(x){| u| }^{p-2}u+V\left(x){| u| }^{{2}^{* * }-2}u\hspace{1.0em}& \hspace{0 ...
Tian Guaiqi, Lei Jun, An Yucheng
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