Results 1 to 10 of about 11,486,155 (229)

Ground State Solutions for Quasilinear Schrödinger Equations with Critical Growth and Lower Power Subcritical Perturbation

Advanced Nonlinear Studies, 2019
We study the following generalized quasilinear Schrödinger equation:
Deng Yinbin, Huang Wentao, Zhang Shen
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Positive Normalized Solutions to a Kind of Fractional Kirchhoff Equation with Critical Growth

Fractal and Fractional
In this paper, we have investigated the existence of normalized solutions for a class of fractional Kirchhoff equations involving nonlinearity and critical nonlinearity. The nonlinearity satisfies L2-supercritical conditions.
Shiyong Zhang, Qiongfen Zhang
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The existence and concentration of ground-state solutions for a class of Kirchhoff type problems in R 3 ${\mathbb{R}^{3}}$ involving critical Sobolev exponents

Boundary Value Problems, 2017
We are concerned with ground-state solutions for the following Kirchhoff type equation with critical nonlinearity: { − ( ε 2 a + ε b ∫ R 3 | ∇ u | 2 ) Δ u + V ( x ) u = λ W ( x ) | u | p − 2 u + | u | 4 u in  R 3 , u > 0 , u ∈ H 1 ( R 3 ) , $$\textstyle ...
Chaoquan Peng
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Some existence results of multiple normalized solutions to critical Kirchhoff–Choquard equation in RN ${\mathbb{R}}^{N}$

Demonstratio Mathematica
The paper intends to prove the existence of multiple normalized solutions for the critical Kirchhoff–Choquard equation, and the main feature of our paper is the simultaneous appearance of critical term, nonlocal term, and potential function, which will ...
Liang Sihua, Pu Hongling, Zhang Xin
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Positive radial symmetric solutions for a class of elliptic problems with critical exponent and -1 growth

Advances in Nonlinear Analysis, 2021
In this paper, we consider a class of semilinear elliptic equation with critical exponent and -1 growth. By using the critical point theory for nonsmooth functionals, two positive solutions are obtained. Moreover, the symmetry and monotonicity properties
Lei Chun-Yu, Liao Jia-Feng
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Fractional elliptic systems with nonlinearities of arbitrary growth

Electronic Journal of Differential Equations, 2017
In this article we discuss the existence, uniqueness and regularity of solutions of the following system of coupled semilinear Poisson equations on a smooth bounded domain $\Omega$ in $\mathbb{R}^n$: $$\displaylines{ \mathcal{A}^s u= v^p \quad\text ...
Edir Junior Ferreira Leite
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The critical Schrödinger–Poisson system involving (p, q)-Laplacian on the Heisenberg group

Demonstratio Mathematica
This paper is committed to the existence of multiple solutions for the critical Schrödinger–Poisson system involving (p, q)-Laplacian on the Heisenberg group:
Ma Xueyan, Li Haoyan, Song Yueqiang
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Existence of positive solutions to perturbed nonlinear Dirichlet problems involving critical growth

Electronic Journal of Differential Equations, 2017
We consider the following perturbed nonlinear elliptic problem with critical growth $$\displaylines{ -\varepsilon^2\Delta u+V(x)u=f(x)|u|^{p-2}u +\frac{\alpha}{\alpha+\beta}K(x)|u|^{\alpha-2}u|v|^\beta,\quad x\in \mathbb{R}^N,\cr -\varepsilon^2 ...
Huixing Zhang, Ran Zhang
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N-Laplacian critical problem with discontinuous nonlinearities

Advances 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
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Multiplicity of solutions for quasilinear equations involving critical Orlicz-Sobolev nonlinear terms

Electronic Journal of Differential Equations, 2013
In this work, we study the existence and multiplicity of solutions for a class of problems involving the $\phi$-Laplacian operator in a bounded domain, where the nonlinearity has a critical growth.
Jefferson A. Santos
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