Skip to content
Research Article Open access CC BY 3.0

Nonlinear Perturbations of a Periodic Quasilinear Elliptic Problem with Discontinuous Nonlinearity in RN1

Qin Li, Zuodong Yang

Journal of Advances in Mathematics and Computer Science · pp. 474–486 · Published 16 Nov 2013

10.9734/BJMCS/2014/6006

Abstract

Using variational methods, we estabilish existence of positive solutions for a class of quasilinear elliptic problems                                                  where  is a positive, continuous perturbations of a periodic function, H is the Heaviside function and f is a continuous function with subcritical growth. The results of the semilinear equations are extended to the quasilinear problem.

Nonlinear perturbations discontinuous nonlinearity quasilinear elliptic problem periodic.

References (19)

  1. 1 Optimization and Nonsmooth Analysis [DOI]
  2. 2 The concentration-compactness principle in the Calculus of Variations. The locally compact case, part 1. [DOI]
  3. 3 Minimax Theorems
  4. 4 Generalized Gradients and Applications [DOI]
  5. 5 Variational methods for non-differentiable functionals and their applications to partial differential equations [DOI]
  6. 6 The obstacle problem and partial differential equations with discontinuous nonlinearities [DOI]
  7. 7 The Dual Variational Principle and elliptic problems with discontinuous nonlinearities [DOI]
  8. 8 On nonlinear perturbations of a periodic elliptic problem in involving critical growth [DOI]
  9. 9 A NONSMOOTH CRITICAL POINT THEORY APPROACH TO SOME NONLINEAR ELLIPTIC EQUATIONS IN R n
  10. 10 An Introduction to Minimax Theorems and Their Applications to Differential Equations [DOI]
  11. 11 Nonlinear Perturbations of a Periodic Elliptic Problem with Critical Growth [DOI]
  12. 12 ON THE EXISTENCE OF NONTRIVIAL SOLUTION OF A QUASILINEAR ELLIPTIC BOUNDARY VALUE PROBLEM FOR UNBOUNDED DOMAINS [DOI]
  13. 13 ON THE MULTIPLE SOLUTIONS OF THE ELLIPTIC DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS NONLINEAR TERMS
  14. 14 Mountain pass theorems for non-differentiable functions and applications [DOI]
  15. 15 A Variational Approach to Discontinuous Problems with Critical Sobolev Exponents [DOI]
  16. 16 Elliptic equations with discontinuous nonlinearities in N [DOI]
  17. 17 A discontinuous problem involving the -Laplacian operator and critical exponent in .
  18. 18 Some remarks on elliptic problems with discontinuous nonlinearities.
  19. 19 The weak upper and lower solution method for quasilinear elliptic equations with generalized subdifferentiable perturbations [DOI]

Cited by 0

No indexed citations yet.

Article metrics

Real usage data collected on this platform.

44

Page views

0

PDF downloads

10

Outbound clicks

0

Citations

Views over time

Views by country

Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".

Traffic sources

Referring site, by host.

Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.