Geodesic
Pairs of sign-changing solutions for sublinear elliptic equations with Neumann boundary conditions
Electronic journal of differential equations, Tome 2014 (2014)
We consider the Neumann problem for a sublinear elliptic equation in a convex bounded domain of $\mathbb{R}^{N}$. Using an variant of Clark Theorem, we obtain the existence and multiplicity of its pairs of sign-changing solutions.
Classification : 58E05, 34C37, 70H05
Keywords: elliptic equation, sublinear potential, Neumann problem, Clark theorem, critical point 
@article{EJDE_2014__2014__a25,
     author = {Li,  Chengyue and Zhang,  Qi and Chen,  Fenfen},
     title = {Pairs of sign-changing solutions for sublinear elliptic equations with {Neumann} boundary conditions},
     journal = {Electronic journal of differential equations},
     year = {2014},
     volume = {2014},
     zbl = {1300.35042},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a25/}
}
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Li,  Chengyue; Zhang,  Qi; Chen,  Fenfen. Pairs of sign-changing solutions for sublinear elliptic equations with Neumann boundary conditions. Electronic journal of differential equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a25/