Results 21 to 30 of about 523 (145)

Nehari manifold approach for superlinear double phase problems with variable exponents [PDF]

Annali di Matematica Pura ed Applicata (1923 -), 2022
AbstractIn this paper we consider quasilinear elliptic equations driven by the variable exponent double phase operator with superlinear right-hand sides. Under very general assumptions on the nonlinearity, we prove a multiplicity result for such problems whereby we show the existence of a positive solution, a negative one and a solution with changing ...
Ángel Crespo‐Blanco, Patrick Winkert
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Ground State Solutions of Schrödinger‐Kirchhoff Equations with Potentials Vanishing at Infinity

Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023
In this paper, we deal with the following Schrödinger‐Kirchhoff equation with potentials vanishing at infinity: −ε2a+εb∫ℝ3∇u2Δu+Vxu=Kxup−1u in ℝ3and u > 0, u ∈ H1(ℝ3), where V(x) ~ |x|−α and K(x) ~ |x|−β with 0 < α < 2, and β > 0. We first prove the existence of positive ground state solutions uε ∈ H1(ℝ3) under the assumption that σ < p < 5 for some σ =
Dongdong Sun, Baowei Feng
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Nehari manifold approach for a singular multi-phase variable exponent problem [PDF]

This paper is concerned with a singular multi-phase problem with variable singularities. The main tool used is the Nehari manifold approach. Existence of at least two positive solutions with positive-negative energy levels are obtained.
Mustafa Avcı
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Parametric superlinear double phase problems with singular term and critical growth on the boundary

Mathematical Methods in the Applied Sciences, Volume 45, Issue 4, Page 2276-2298, 15 March 2022., 2022
In this paper, we study quasilinear elliptic equations driven by the double phase operator along with a reaction that has a singular and a parametric superlinear term and with a nonlinear Neumann boundary condition of critical growth. Based on a new equivalent norm for Musielak–Orlicz Sobolev spaces and the Nehari manifold along with the fibering ...
Ángel Crespo‐Blanco, Nikolaos S. Papageorgiou, Patrick Winkert   +2 more
wiley   +1 more source

Existence of Two Solutions for a Critical Elliptic Problem with Nonlocal Term in ℝ4

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this paper, we prove the existence of two positive solutions for a critical elliptic problem with nonlocal term and Sobolev exponent in dimension four.
Khadidja Sabri, Atika Matallah, Safia Benmansour, Mohammed El Mokhtar Ould El Mokhtar, Pasquale Vetro   +4 more
wiley   +1 more source

Majorization Properties for Certain Subclasses of Meromorphic Function of Complex Order

Complexity, Volume 2022, Issue 1, 2022., 2022
By making use of q−differential operators, many distinct subclasses of analytic and meromorphic functions have already been defined and investigated from numerous perspectives. In this article, we investigated several majorization results for the class of meromorphic univalent functions of complex order, defined by q−differential operator. Moreover, we
Neelam Khan, Muhammad Arif, Maslina Darus, Abdellatif Ben Makhlouf   +3 more
wiley   +1 more source

On extreme values of Nehari manifold method via nonlinear Rayleigh's\n quotient [PDF]

Topological Methods in Nonlinear Analysis, 2015
We study applicability conditions of the Nehari manifold method for the equation of the form $ D_u T(u)- D_u F(u)=0 $ in a Banach space $W$, where $ $ is a real parameter. Our study is based on the development of the theory Rayleigh's quotient for nonlinear problems.
Yavdat Il’yasov
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Nehari manifold for fractional p(.)-Laplacian system involving concave-convex nonlinearities [PDF]

, 2020
In this article using Nehari manifold method we study the multiplicity of solutions of the following nonlocal elliptic system involving variable exponents and concave-convex nonlinearities: \begin{equation*} \;\;\; \begin{array}{rl} (- )_{p(\cdot)}^{s} u&= ~ a(x)| u|^{q(x)-2}u+\frac{ (x)}{ (x)+ (x)}c(x)| u|^{ (x)-2}u| v| ^{ (x)},\hspace{2mm}
Reshmi Biswas, Sweta Tiwari
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The Nehari manifold for systems of nonlinear elliptic equations [PDF]

Nonlinear Analysis: Theory, Methods & Applications, 2006
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Adriouch, K., El Hamidi, A.
openaire   +2 more sources