Existence of Solutions for a Class of p(x)-Kirchhoff Type Equation with Dependence on the Gradient

키워드

참고문헌 (41)

1. C. O. Alves, "On existence of solutions for a class of problem involving a nonlinear operator", Comm. Appl. Nonlinear Anal, 8, pp.43~56 (2001)
2. C. O. Alves, "A sub-supersolution approach for a quasilinear Kirchhoff equation", J. Math. Phys, 56, pp.051501~051512 (2015)
3. A. Arosio, "On the well-posedness of the Kirchhoff string", Trans. Amer. Math. Soc, 348, pp.305~330 (1996)
4. R. Ayazoglu, "Electrorheological fluids equations involving variable exponent with dependence on the gradient via mountain pass techniques", Numer. Funct. Anal. Optim, 37(9), pp.1144~1157 (2016)
5. M.-M. Boureanu, "Existence and multiplicity results for elliptic problems with p(·)-growth conditions", Nonlinear Anal. Real World Appl, 14, pp.1829~1844 (2013)
6. E. Cabanillas L, "Existence of Solutions for a Class of p(x)-Kirchhoff Type Equation Via Topological Methods", Int. J. Adv. Appl. Math. Mech, 2(4), pp.64~72 (2015)
7. M. M. Cavalcanti, "Global existence and uniform decay rates for the Kirchhoff-Carrier equation with nonlinear dissipation", Adv. Differential Equations, 6, pp.701~730 (2001)
8. M. Chipot, "Some remarks on nonlocal elliptic and parabolic problems", Nonlinear Anal, 30, pp.4619~4627 (1997)
9. M. Chipot, "On a class of nonlocal nonlinear elliptic problems, RAIRO Model", Math. Anal. Numer, 26, pp.447~467 (1992)
10. F. Colasuonno, "Multiplicity of solutions for p(x)-polyharmonic Kirchhoff equations", Nonlinear Anal, 74, pp.5962~5974 (2011)
11. F. J. S. A. Correa, "On an elliptic equation of p-Kirchhoff type via variational methods", Bull. Austral. Math. Soc, 74, pp.263~277 (2006)
12. F. J. S. A. Correa, "On a p-Kirchhoff equation via Krasnoselskii’s genus", Appl. Math. Lett, 22, pp.819~822 (2009)
13. F. J. S. A. Correa, "On a class of problems involving a nonlocal operator", Appl. Math. Comput, 147, pp.475~489 (2004)
14. G. Dai, "Existence of solutions for a p(x)-Kirchhoff-type equation", J. Math. Anal. Appl, 359, pp.275~284 (2009)
15. G. Dai, "Solutions for a p(x)-Kirchhoff-type equation with Neumann boundary data", Nonlinear Anal. Real World Appl, 12, pp.2666~2680 (2011)
16. G. Dai, "Infinitely many non-negative solutions for a p(x)-Kirchhoff-type problem with Dirichlet boundary condition", Nonlinear Anal, 73, pp.3420~3430 (2010)
17. P. D’Ancona, "Global solvability for the degenerate Kirchhoff equation with real analytic data", Invent. Math, 108, pp.247~262 (1992)
18. M. Dreher, "The Kirchhoff equation for the p-Laplacian", Rend. Semin. Mat. Univ. Politec. Torino, 64, pp.217~238 (2006)
19. M. Dreher, "The wave equation for the p-Laplacian", Hokkaido Math. J, 36, pp.21~52 (2007)
20. X. L. Fan, "On nonlocal p(x)-Laplacian Dirichlet problems", Nonlinear Anal, 72, pp.3314~3323 (2010)
21. X. L. Fan, "Sobolev embedding theorems for spaces Wk,p(x)(Ω)", J. Math. Anal. Appl, 262, pp.749~760 (2001)
22. X. L. Fan, "Existence of solutions for p(x)-Laplacian Dirichlet problems", Nonlinear Anal, 52, pp.1843~1852 (2003)
23. X. L. Fan, "On the Spaces Lp(x)(Ω) and Wm,p(x)(Ω)", J. Math. Anal. Appl, 263, pp.424~446 (2001)
24. F. Faraci, "Positive solutions of quasi-linear elliptic equations with dependence on the gradient", Calc. Var. Partial Differential Equations, 54, pp.525~538 (2015)
25. L. F. O. Faria, "Existence results for nonlinear elliptic equations with Leray-Lions operator and dependence on the gradient", Nonlinear Anal, 96, pp.154~166 (2014)
26. G. M. Figueiredo, "Quasilinear equations with dependence on the gradient via Mountain Pass techniques in Rn", Appl. Math. Comput, 203, pp.14~18 (2008)
27. D. G. de Figueiredo, "Semilinear elliptic equations with dependence on the gradient via Mountain Pass techniques", Differential Integral Equations, 17, pp.119~126 (2004)
28. N. B. Huy, "Positive solutions of logistic equations with dependence on gradient and nonhomogeneous Kirchhoff term", J. Math. Anal. Appl, 444, pp.95~109 (2016)
29. I. Kim, "A topological degree for operators of generalized (S+) type", Fixed Point Theory Appl, 194, pp.16~ (2015)
30. G. Kirchhoff, "Mechanik" (1883), Teubner
31. J.-L. Lions, "On some questions in boundary value problems of mathematical physics, Contemporary developments in continuum mechanics and partial differential equations", North-Holland Math. Stud., 30, pp.284~346 (1978)
32. G. Liu, "Semilinear elliptic equations with dependence on the gradient", Electron. J. Differential Equations, 139, pp.9~ (2012)
33. J. Liu, "Positive solutions for a nonlocal problem with a convection term and small perturbations", Math. Methods Appl. Sci, 40(3), pp.720~728 (2017)
34. A. Ourraoui, "On an elliptic equation of p-Kirchhoff type with convection term", C. R. Math. Acad. Sci. Paris, 354, pp.253~256 (2016)
35. M. Pei, "Multiplicity of positive radial solutions of p-Laplacian problems with nonlinear gradient term", Bound. Value Probl, 36, pp.7~ (2017)
36. I. V. Skrypnik, "Methods for Analysis of Nonlinear Elliptic Boundary Value Problems" (1994), American Mathematical Society
37. C. F. Vasconcellos, "On a nonlinear stationary problem in unbounded domains", Rev. Mat. Univ. Complut. Madrid, 5, pp.309~318 (1992)
38. M. Tanaka, "Existence of a positive solution for quasilinear elliptic equations with nonlinearity including the gradient", Bound. Value Probl, 173, pp.11~ (2013)
39. S. L. Troyanski, "On locally uniformly convex and differentiable norms in certain nonseparable Banach spaces", Studia Math, 37, pp.173~180 (1971)
40. Z. Yucedag, "Existence of solutions for a class of Kirchhoff-type equation with nonstandard growth", Univ. J. App. Math, 2(5), pp.215~221 (2014)
41. B, "Nonlinear Functional Analysis and its Applications II", pp.1990, E. Zeidler

관련 논문AI추천