Startseite Mathematik Coercive and noncoercive elliptic problems with variable exponent Laplacian under Robin boundary conditions
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Coercive and noncoercive elliptic problems with variable exponent Laplacian under Robin boundary conditions

  • Makkia Dammak und Abir Amor Ben Ali EMAIL logo
Veröffentlicht/Copyright: 4. Dezember 2022
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Mathematica Slovaca
Aus der Zeitschrift Mathematica Slovaca Band 72 Heft 6

Abstract

In the present paper, we study the existence as well as the non-existence of some positive solutions for the equation −Δp(x) u = λ k(x) uq ± h(x) ur under Robin boundary condition in a regular open bounded domain Ω of ℝN, N ≥ 2. Δp(x) is the p(x)-Laplacian operator where p ∈ C1(Ω) and p > 1. Our proofs are based on the sub solution-super solution method and also on variational arguments.

MSC 2010: Primary 35J20; 35J60; 35K57; 35J70
Keywords: p(x)-Laplace operator; quasilinear equation; sub solution-super solution method; generalised Sobolev spaces; variational methods

  1. (Communicated by Alberto Lastra)

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Received: 2021-04-29
Accepted: 2021-12-07
Published Online: 2022-12-04
Published in Print: 2022-12-16

© 2022 Mathematical Institute Slovak Academy of Sciences

Artikel in diesem Heft

  1. Prof. RNDr. Július korbaš, CSC. passed away
  2. Kalmbach measurability In d0-algebras
  3. Quantifiers on L-algebras
  4. Ideals of functions with compact support in the integer-valued case
  5. An algebraic study of the logic S5’(BL)
  6. Triangular numbers and generalized fibonacci polynomial
  7. A general matrix series inversion pair and associated polynomials
  8. Quantum ostrowski type inequalities for pre-invex functions
  9. Hermite-Hadamard type inequalities for interval-valued fractional integrals with respect to another function
  10. Approximating families for lattice outer measures on unsharp quantum logics
  11. On a generalized Lamé-Navier system in ℝ3
  12. Coercive and noncoercive elliptic problems with variable exponent Laplacian under Robin boundary conditions
  13. On some classical properties of normed spaces via generalized vector valued almost convergence
  14. Fan-Hemicontinuity for the gradient of the norm in Hilbert space
  15. Solvability of mixed problems for heat equations with two nonlocal conditions
  16. The global harnack estimates for a nonlinear heat equation with potential under finsler-geometric flow
  17. A note on set-star-K-Menger spaces
  18. A bivariate extension of the Omega distribution for two-dimensional proportional data
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  20. The symmetric 4-Player gambler’s problem with unequal initial stakes
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https://doi.org/10.1515/ms-2022-0105
Schlagwörter für diesen Artikel
p(x)-Laplace operator; quasilinear equation; sub solution-super solution method; generalised Sobolev spaces; variational methods

Artikel in diesem Heft

  1. Prof. RNDr. Július korbaš, CSC. passed away
  2. Kalmbach measurability In d0-algebras
  3. Quantifiers on L-algebras
  4. Ideals of functions with compact support in the integer-valued case
  5. An algebraic study of the logic S5’(BL)
  6. Triangular numbers and generalized fibonacci polynomial
  7. A general matrix series inversion pair and associated polynomials
  8. Quantum ostrowski type inequalities for pre-invex functions
  9. Hermite-Hadamard type inequalities for interval-valued fractional integrals with respect to another function
  10. Approximating families for lattice outer measures on unsharp quantum logics
  11. On a generalized Lamé-Navier system in ℝ3
  12. Coercive and noncoercive elliptic problems with variable exponent Laplacian under Robin boundary conditions
  13. On some classical properties of normed spaces via generalized vector valued almost convergence
  14. Fan-Hemicontinuity for the gradient of the norm in Hilbert space
  15. Solvability of mixed problems for heat equations with two nonlocal conditions
  16. The global harnack estimates for a nonlinear heat equation with potential under finsler-geometric flow
  17. A note on set-star-K-Menger spaces
  18. A bivariate extension of the Omega distribution for two-dimensional proportional data
  19. Bernstein polynomials based iterative method for solving fractional integral equations
  20. The symmetric 4-Player gambler’s problem with unequal initial stakes
  21. Enveloping action: Convergence spaces
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