Linear Elliptic Systems with Nonlinear Boundary Conditions without Landesman-Lazer Conditions

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Alzaki Fadlallah
Alzaki Fadlallah
α University of Alabama at Birmingham University of Alabama at Birmingham

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Linear Elliptic Systems with Nonlinear Boundary Conditions without Landesman-Lazer Conditions

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References

19 Cites in Article
  1. Edward Landesman,Alan Lazer (1970). Linear eigenvalues and a nonlinear boundary value problem.
  2. L Nirenberg (1970). An application of generalized degree to a class of nonlinear problems.
  3. L Nirenberg (1971). Generalized Degree and Nonlinear Problems.
  4. R Ortega,J Ward (2002). A Semilinear elliptic system with vanishing nonlinearities.
  5. R Iannacci,M Nkashama (1989). nonlinear two point boundary value problems at resonance without Landesman-lazer condition.
  6. Rafael Ortega,Luis Sánchez (2002). Periodic Solutions of Forced Oscillators with Several Degrees of Freedom.
  7. J Mawhin (1989). Forced Second Order Conservative Systems with Periodic Nonlinearity.
  8. A Fadlallah (2014). Linear second order elliptic partial differential equations with Nonlinear Boundary Conditions at Resonance Without Landesman-Lazer Conditions.
  9. A Ambrosetti,G Mancini (1978). Existence and multiplicity results for nonlinear elliptic problems with linear part at resonance the case of the simple eigenvalue.
  10. A Ambrosetti,G Mancini (1978). Theorems of existence and multiplicity for nonlinear elliptic problems with noninvertible linear part.
  11. Giles Auchmuty (2004). Steklov Eigenproblems and the Representation of Solutions of Elliptic Boundary Value Problems.
  12. S Fucik,M Krbec (1977). Boundary value problems with bounded nonlinearity and general null-space of the linear part.
  13. Peter Hess (1977). A remark on the preceding paper of Fu?ik and Krbec.
  14. N Mavinga,M Nkashama (2010). Steklov-Neumann eigenproblems and nonlinear elliptic equations with nonlinear boundary conditions.
  15. N Mavinga,M Nkashama (2011). Strong full bounded solutions of nonlinear parabolic equations with nonlinear boundary conditions.
  16. N Mavinga,M Nkashama (2012). Steklov–Neumann eigenproblems and nonlinear elliptic equations with nonlinear boundary conditions.
  17. T Runst (1999). A unified approach to solvability conditions for nonlinear second-order elliptic equations at resonance.
  18. N Lloyd (1978). Degree theory.
  19. J Mawhin (1979). Topological degree methods in nonlinear boundary-value problems.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Alzaki Fadlallah. 2015. \u201cLinear Elliptic Systems with Nonlinear Boundary Conditions without Landesman-Lazer Conditions\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F3): .

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-F Classification: MSC 2010: 58J05
Version of record

v1.2

Issue date

May 4, 2015

Language
en
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Linear Elliptic Systems with Nonlinear Boundary Conditions without Landesman-Lazer Conditions

Alzaki Fadlallah
Alzaki Fadlallah University of Alabama at Birmingham

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