On an elliptic equation of $p$-Laplacian type with nonlinear boundary condition
نویسندگان
چکیده
منابع مشابه
Existence and multiplicity of solutions to a p-Laplacian equation with nonlinear boundary condition
We study the nonlinear elliptic boundary value problem Au = f(x, u) in Ω , Bu = g(x, u) on ∂Ω , where A is an operator of p−Laplacian type, Ω is an unbounded domain in R with non-compact boundary, and f and g are subcritical nonlinearities. We show existence of a nontrivial nonnegative weak solution when both f and g are superlinear. Also we show existence of at least two nonnegative solutions ...
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ژورنال
عنوان ژورنال: Boletim da Sociedade Paranaense de Matemática
سال: 2011
ISSN: 2175-1188,0037-8712
DOI: 10.5269/bspm.v29i2.11965