PlumX Metrics
Embed PlumX Metrics

Positive solution for a class of coupled [InlineEquation not available: see fulltext.]-Laplacian nonlinear systems

Boundary Value Problems, ISSN: 1687-2770, Vol: 2014, Issue: 1
2014
  • 2
    Citations
  • 0
    Usage
  • 3
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

Article Description

In this article, we prove the existence of a nontrivial positive solution for the elliptic system (Formula presented.) where (Formula presented.) denotes the p-Laplacian operator, (Formula presented.) and Ω is a smooth bounded domain in (Formula presented.). The weight functions ω and ρ are continuous, nonnegative and not identically null in Ω, and the nonlinearities f and g are continuous and satisfy simple hypotheses of local behavior, without involving monotonicity hypotheses or conditions at ∞. We apply the fixed point theorem in a cone to obtain our result. MSC:35B09, 35J47, 58J20.

Provide Feedback

Have ideas for a new metric? Would you like to see something else here?Let us know