Results 41 to 50 of about 85 (78)

Nonexistence of positive radial solutions for a problem with singular potential

Advances in Nonlinear Analysis, 2014
This article completes the picture in the study of positive radial solutions in the function space 𝒟1,2(ℝN)∩L2(ℝN,|x|-αdx)∩Lp(ℝN)${{\mathcal {D}^{1,2}({\mathbb {R}^N}) \cap L^2({{\mathbb {R}^N}, | x |^{-\alpha } dx})\cap L^p({\mathbb {R}^N})}}$ for the ...
Catrina Florin
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Dirac-harmonic maps with potential. [PDF]

Lett Math Phys, 2022
Branding V.
europepmc   +1 more source

An upper bound for the least energy of a sign-changing solution to a zero mass problem

Advanced Nonlinear Studies
We give an upper bound for the least possible energy of a sign-changing solution to the nonlinear scalar field equation −Δu=f(u),u∈D1,2(RN), $-{\Delta}u=f\left(u\right), u\in {D}^{1,2}\left({\mathrm{R}}^{N}\right),$ where N ≥ 5 and the nonlinearity f is
Clapp Mónica, Maia Liliane, Pellacci Benedetta   +2 more
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Limit profiles and uniqueness of ground states to the nonlinear Choquard equations

Advances in Nonlinear Analysis, 2018
Consider nonlinear Choquard ...
Seok Jinmyoung
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Nonlinear elliptic equations with self-adjoint integro-differential operators and measure data under sign condition on the nonlinearity

Advanced Nonlinear Studies
We study the existence problem for semilinear equations (E): −Au = f(⋅, u) + μ, with Borel measure μ and operator A that generates a symmetric Markov semigroup.
Klimsiak Tomasz
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Ground state solutions for a semilinear elliptic problem with critical-subcritical growth

Advances in Nonlinear Analysis, 2018
We prove the existence of at least one ground state solution for the semilinear elliptic ...
Alves Claudianor O., Ercole Grey, Huamán Bolaños M. Daniel   +2 more
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Blow-up solutions to the Hartree-Fock type Schrödinger equation with the critical rotational speed

Advances in Nonlinear Analysis
In this article, we are concerned with the existence, non-existence, and blow-up behavior of normalized ground state solutions for the mass critical Hartree-Fock type Schrödinger equation with rotation i∂tu=−Δu+2V(x)u+2ΩLzu−λu−bu∫RN∣u(y)∣2∣x−y∣2dy,(t,x ...
Tu Yuanyuan, Wang Jun
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A Nonlocal Operator Breaking the Keller–Osserman Condition

Advanced Nonlinear Studies, 2017
This work is concerned about the existence of solutions to the nonlocal semilinear ...
Ferreira Raúl, Pérez-Llanos Mayte
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Intervals of bifurcation points for semilinear elliptic problems

Advances in Nonlinear Analysis
In this article, we study the behavior of multiple continua of solutions to the semilinear elliptic problem −Δu=λf(u),inΩ,u=0,on∂Ω,\left\{\begin{array}{ll}-\Delta u=\lambda f\left(u),\hspace{1.0em}& \hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em ...
Tapia José Carmona, Aparicio Antonio J. Martínez, Martínez-Aparicio Pedro J.   +2 more
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Loop Type Subcontinua of Positive Solutions for Indefinite Concave-Convex Problems

Advanced Nonlinear Studies, 2019
We establish the existence of loop type subcontinua of nonnegative solutions for a class of concave-convex type elliptic equations with indefinite weights, under Dirichlet and Neumann boundary conditions.
Kaufmann Uriel, Ramos Quoirin Humberto, Umezu Kenichiro   +2 more
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