Results 91 to 100 of about 159 (128)

Existence of solution for asymptotically linear systems in R^N

Electronic Journal of Differential Equations, 2013
We show the existence of solution for a strongly coupled elliptic system under three different conditions, namely: the autonomous case, the radial case, and a general case. For the autonomous case, we present a characterization of the solution.
Raquel Lehrer
doaj  

Nonexistence and existence of solutions for a supercritical p-Laplacian elliptic problem

Advanced Nonlinear Studies
In this paper, we obtain a general supercritical Sobolev inequality in W0,rad1,p(B) ${W}_{0,rad}^{1, p}\left(B\right)$ , where B is the unit ball in RN ${\mathbb{R}}^{N}$ .
Liu Yanjun, Li Yu, Chen Yuan
doaj   +1 more source

The qualitative behavior at the free boundary for approximate harmonic maps from surfaces. [PDF]

Math Ann, 2019
Jost J, Liu L, Zhu M.
europepmc   +1 more source

Positive ground state solution for Kirchhoff equations with subcritical growth and zero mass

Electronic Journal of Differential Equations, 2015
In this article, we study the Kirchhoff equation $$\displaylines{ -\Big(a+b\int_{\mathbb{R}^N}|\nabla u|^{2}dx\Big)\Delta u=K(x)f(u), \quad x\in \mathbb{R}^N,\cr u\in D^{1,2}(\mathbb{R}^N), }$$ where a>0, b>0 and $N\geq3$.
Yu Duan, Jiu Liu, Chun-Lei Tang
doaj  

On the energy partition in oscillations and waves. [PDF]

Proc Math Phys Eng Sci, 2015
Slepyan LI.
europepmc   +1 more source

Pohozaev identities and Kelvin transformation of semilinear Grushin equation

In this paper, we study Pohozaev identities, Kelvin transformation and their applications of semilinear Grushin equation. First, we establish two Pohozaev identities generated from translations and determine the location of the concentration point for solution of a kind of Grushin equation by such identities.
Wei, Yawei, Zhou, Xiaodong
openaire   +2 more sources

Existence of solutions for a class of quasilinear Schrödinger equations with Choquard-type nonlinearity

Advances in Nonlinear Analysis
For the following quasilinear Choquard-type equation: −Δu−Δ(u2)u+V(x)u=(Iμ*∣u∣p)∣u∣p−2u,x∈RN,-\Delta u-\Delta \left({u}^{2})u+V\left(x)u=\left({I}_{\mu }* {| u| }^{p}){| u| }^{p-2}u,\hspace{1em}x\in {{\mathbb{R}}}^{N}, where N≥3 ...
Shen Zifei, Yang Ning
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On the existence of a priori bounds for positive solutions of elliptic problems, I

Revista Integración, 2019
This paper gives a survey over the existence of uniform L∞ a priori bounds for positive solutions of subcritical elliptic equations (P)p     -\Delta_p u =f(u),  in  \Omega,    u = 0, on \partial\Omega widening the known ranges of subcritical ...
Rosa Pardo
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On the Pohozaev identity for the fractional p$p$‐Laplacian operator in RN$\mathbb {R}^N$

Bulletin of the London Mathematical Society
AbstractIn this paper, we show the existence of a nontrivial weak solution for a nonlinear problem involving the fractional ‐Laplacian operator and a Berestycki–Lions type nonlinearity. This solution satisfies a Pohozaev identity. Moreover, we prove that any sufficiently smooth solution fulfills the Pohozaev identity.
openaire   +3 more sources

Multiple positive solutions for superlinear Kirchhoff type problems on R^N

Electronic Journal of Differential Equations, 2015
In this article, we study the multiplicity of positive solutions for a class of Kirchhoff type problems depending on two real functions and a nonnegative parameter on an unbounded domain.
Yu Duan, Chun-Lei Tang
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