Results 21 to 30 of about 526 (85)
Multiple solutions to multi-critical Schrödinger equations
Advanced Nonlinear Studies, 2022 In this article, we investigate the existence of multiple positive solutions to the following multi-critical Schrödinger equation: (0.1)−Δu+λV(x)u=μ∣u∣p−2u+∑i=1k(∣x∣−(N−αi)∗∣u∣2i∗)∣u∣2i∗−2uinRN,u∈H1(RN),\left\{\begin{array}{l}-\Delta u+\lambda V\left(x)u=
Xu Ziyi, Yang Jianfu
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Bubble concentration on spheres for supercritical elliptic problems [PDF]
, 2013 We consider the supercritical Lane-Emden problem $$(P_\eps)\qquad -\Delta v= |v|^{p_\eps-1} v \ \hbox{in}\ \mathcal{A} ,\quad u=0\ \hbox{on}\ \partial\mathcal{A} $$ where $\mathcal A$ is an annulus in $\rr^{2m},$ $m\ge2$ and $p_\eps={(m+1)+2\over(m+1)
A Bahri +15 more
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Multiplicity of solutions for singular semilinear elliptic equations in weighted Sobolev spaces
Boundary Value Problems, 2014 A class of semilinear elliptic equations involving strong resonance or non-resonance is reconsidered here. The multiplicity of solutions is investigated by using the variational method, and the results complement earlier ones.
Gao Jia, Longzhen Zhang
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Infinitely many solutions for cubic nonlinear Schrödinger equations in dimension four
Advances in Nonlinear Analysis, 2017 We extend Chen, Wei and Yan’s constructions of families of solutions with unbounded energies [5] to the case of cubic nonlinear Schrödinger equations in the optimal dimension four.
Vétois Jérôme, Wang Shaodong
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Transactions of the American Mathematical Society, 2019 This work is mainly motivated by the study of periodic wave train solutions for the so-called Gurtin-McCamy equation. To that aim we construct a smooth center manifold for a rather general class of abstract second order semi-linear differential equations
A. Ducrot, Pierre Magal
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Nonexistence Results for Semilinear Equations in Carnot Groups
Analysis and Geometry in Metric Spaces, 2013 In this paper, following [3], we provide some nonexistence results for semilinear equations in the the class of Carnot groups of type ★.This class, see [20], contains, in particular, all groups of step 2; like the Heisenberg group, and also Carnot ...
Ferrari Fausto, Pinamonti Andrea
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On a class of nonlocal nonlinear Schrödinger equations with potential well
Advances in Nonlinear Analysis, 2019 In this paper we investigate the existence, multiplicity and asymptotic behavior of positive solution for the nonlocal nonlinear Schrödinger equations. We exploiting the relationship between the Nehari manifold and eigenvalue problems to discuss how the ...
Wu Tsung-fang
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Existence of normalized solutions for the coupled elliptic system with quadratic nonlinearity
Advanced Nonlinear Studies, 2022 In the present paper, we study the existence of the normalized solutions for the following coupled elliptic system with quadratic nonlinearity −Δu−λ1u=μ1∣u∣u+βuvinRN,−Δv−λ2v=μ2∣v∣v+β2u2inRN,\left\{\begin{array}{ll}-\Delta u-{\lambda }_{1}u={\mu }_{1}| u|
Wang Jun, Wang Xuan, Wei Song
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Concentration with a single sign-changing layer at the higher critical exponents
Advances in Nonlinear Analysis, 2018 We exhibit a new concentration phenomenon for the supercritical ...
Clapp Mónica, Faya Jorge
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On the problem of maximal $L^q$-regularity for viscous Hamilton-Jacobi equations
, 2020 For $q>2, \gamma > 1$, we prove that maximal regularity of $L^q$ type holds for periodic solutions to $-\Delta u + |Du|^\gamma = f$ in $\mathbb{R}^d$, under the (sharp) assumption $q > d \frac{\gamma-1}\gamma$.Comment: 11 ...
Cirant, Marco, Goffi, Alessandro
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