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Existence of Positive Solutions to Singular φ -Laplacian Nonlocal Boundary Value Problems when φ is a Sup-multiplicative-like Function

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  • Jeongmi Jeong

    (Department of mathematics, Pusan National University, Busan 46241, Korea
    These authors contributed equally to this work.)

  • Chan-Gyun Kim

    (Department of Mathematics Education, Chinju National University of Education, Jinju 52673, Korea
    These authors contributed equally to this work.)

Abstract

In this paper, using a fixed point index theorem on a cone, we present some existence results for one or multiple positive solutions to φ -Laplacian nonlocal boundary value problems when φ is a sup-multiplicative-like function and the nonlinearity may not satisfy the L 1 -Carath e ´ odory condition.

Suggested Citation

  • Jeongmi Jeong & Chan-Gyun Kim, 2020. "Existence of Positive Solutions to Singular φ -Laplacian Nonlocal Boundary Value Problems when φ is a Sup-multiplicative-like Function," Mathematics, MDPI, vol. 8(3), pages 1-18, March.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:420-:d:332642
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    References listed on IDEAS

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    1. ,, 2001. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 17(6), pages 1157-1160, December.
    2. Chan-Gyun Kim, 2019. "Existence, Nonexistence and Multiplicity of Positive Solutions for Singular Boundary Value Problems Involving φ -Laplacian," Mathematics, MDPI, vol. 7(10), pages 1-12, October.
    3. ,, 2004. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 20(2), pages 427-429, April.
    4. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(1), pages 193-194, February.
    5. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(2), pages 541-545, April.
    6. ,, 2001. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 17(5), pages 1025-1031, October.
    7. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(4), pages 1007-1017, August.
    8. Jeongmi Jeong & Chan-Gyun Kim, 2019. "Existence of Positive Solutions to Singular Boundary Value Problems Involving φ -Laplacian," Mathematics, MDPI, vol. 7(7), pages 1-13, July.
    9. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(6), pages 1461-1465, December.
    10. ,, 2004. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 20(1), pages 223-229, February.
    11. Changyou Wang & Haiqiang Zhang & Shu Wang, 2012. "Positive Solution of a Nonlinear Fractional Differential Equation Involving Caputo Derivative," Discrete Dynamics in Nature and Society, Hindawi, vol. 2012, pages 1-16, October.
    12. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(5), pages 1273-1289, October.
    13. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(3), pages 819-821, June.
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