Results 51 to 60 of about 1,214,101 (108)

Sign-changing solutions for $p$-Laplacian equations with jumping nonlinearity and the Fučik spectrum

open access: yes, 2016
We study the existence of sign-changing solutions for the $p$-Laplacian equation $$ -\Delta_pu +\lambda g(x)|u|^{p-2}u=f(u),\quad x\in \mathbb{R}^N, $$ where $\lambda$ is a positive parameter and the nonlinear term $f$ has jumping nonlinearity at ...
Xiong, Ming   +2 more
core  

Spectrum, February 1982 [PDF]

open access: yes, 1982
Volume 4, Number 1 of Spectrum literary journalhttps://nwcommons.nwciowa.edu/spectrum/1006/thumbnail ...
Spectrum Contributors,
core   +1 more source

Spectrum, March 1980 [PDF]

open access: yes, 1980
Volume 2, Number 1 of Spectrum literary journalhttps://nwcommons.nwciowa.edu/spectrum/1002/thumbnail ...
Spectrum Contributors,
core   +1 more source

Resonance with respect to the Fucik spectrum

open access: yesElectronic Journal of Differential Equations, 2000
Let $L$ be a self-adjoint operator on $L^2(Omega; R)$ with $Omega$ a bounded and open subset of $R^N$. This article considers the resonance problem with respect to the Fuv c'i k spectrum of $L$, which means that we study equations of the form $$ Lu ...
A. K. Ben-Naoum, C. Fabry, D. Smets
doaj  

Spectrum, May 1979 [PDF]

open access: yes, 1979
Vol.
Spectrum Contributors,
core   +1 more source

Solution to a semilinear problem on type II regions determined by the Fucik spectrum

open access: yesElectronic Journal of Differential Equations, 2003
We prove the existence of solutions to the semi-linear problem $$displaylines{ u''(x)+alpha u^+(x)+ta u^-(x)=f(x),,quad xin (0,pi),,cr u(0)=u(pi)=0 } $$ where the point $(alpha,eta)$ falls in regions of type (II) between curves of the Fucik spectrum.
Petr Tomiczek
doaj  

Spectrum, April 1984 [PDF]

open access: yes, 1984
Volume 6, Number 1 of Spectrum literary journalhttps://nwcommons.nwciowa.edu/spectrum/1010/thumbnail ...
Spectrum Contributors,
core   +1 more source

Potential Landesman-Lazer type conditions and the Fucik spectrum

open access: yesElectronic Journal of Differential Equations, 2005
We prove the existence of solutions to the nonlinear problem $$displaylines{ u''(x)+lambda_+ u^+(x)-lambda_- u^-(x)+g(x,u(x))=f(x),,quad xin (0,pi),,cr u(0)=u(pi)=0 } $$ where the point $[lambda_+,lambda_-]$ is a point of the Fucik spectrum and the ...
Petr Tomiczek
doaj  

Superlinear equations and a uniform anti-maximum principle for the multi-Laplacian operator

open access: yesElectronic Journal of Differential Equations, 2004
In the first part of this paper, we study a nonlinear equation with the multi-Laplacian operator, where the nonlinearity intersects all but the first eigenvalue.
Eugenio Massa
doaj  

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