Nonlinear elliptic equations at resonance where the nonlinearity depends essentially on the derivatives
β Scribed by Kent Nagle; Ken Pothoven; Karen Singkofer
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 727 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0022-0396
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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
## Abstract In this paper we prove a comparison principle between the semicontinuous viscosity subβ and supersolutions of the tangential oblique derivative problem and the mixed DirichletβNeumann problem for fully nonlinear elliptic equations. By means of the comparison principle, the existence of