نتایج جستجو برای ' Asymptotically p '

In this work, an implicit iterative process is considered for asymptotically pseudocontractive nonself-mappings. Weak and strong convergence theorems for common fixed points of a family of asymptotically pseudocontractive nonself-mappings are established in the framework of Hilbert spaces.

In this paper, we study the existence of positive solutions and sign-changing solutions for the p-aplacian equation −Δpu + λg(x) | u |p−2 u = f (x, u), x ∈ RN , where λ is a positive parameter and the nonlinear term f is superlinear at zero and asymptotically p-linear at infinity.

We consider a nonlinear elliptic problem driven by the p-Laplacian, where the right hand side nonlinearity exhibits a p-linear behavior near infinity and the Euler functional of the problem need not be coercive and, in fact, can be indefinite. Using a combination of minimax arguments with truncation techniques and Morse theory, we show that the problem has at least three nontrivial smooth solutions, two of which have a constant sign. Our method of proof uses some results on critical gr...