In this paper, we study the multiple solutions for the semilinear elliptic equation where N 2, 11 for N = 2. We will prove that the problem possesses infinitely many solutions under some assumptions on Q(x).
Some nonlinear elliptic equations in RN
β Scribed by Monica Musso; Donato Passaseo
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 156 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
We show existence and regularity of solutions in \(\mathbf{R}^{N}\) to nonlinear elliptic equations of the form \(-\operatorname{div} A(x, D u)+g(x, u)=f\), when \(f\) is just a locally integrable function, under appropriate growth conditions on \(A\) and \(g\) but not on \(f\). Roughly speaking, in
This paper deals with the existence of multiple solutions for some classes of nonlinear elliptic Dirichlet boundary value problems. The interplay of convex and concave nonlinearities is studied both for second order equations and for problems involving the p-Laplacian. The bifurcation of positive so