본문 바로가기
KERD
논문KCI 등재

On a Neumann problem at resonance for nonuniformly semilinear elliptic systems in an unbounded domain with nonlinear boundary condition

Hoang Quoc Toan|Bui Quoc Hung
대한수학회 (The Korean Mathematical Society)|2014.11|대한수학회보 (Bulletin of the KMS)|제51권 제6호|pp. 1669-1687

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

non-uniformsemilinear elliptic equationLandesman-Lazer conditionminimum principle
주제분류수학

초록

We consider a nonuniformly nonlinear elliptic systems with resonance part and nonlinear Neumann boundary condition on an unbounded domain. Our arguments are based on the minimum principle and rely on a generalization of the Landesman-Lazer type condition.

Abstract

We consider a nonuniformly nonlinear elliptic systems with resonance part and nonlinear Neumann boundary condition on an unbounded domain. Our arguments are based on the minimum principle and rely on a generalization of the Landesman-Lazer type condition.

참고문헌 (16)

  1. A. Anane, "Strongly nonlinear elliptic problems near resonance a vari-ational approach", Comm. Partial Differential Equation, 15(8), pp.1141~1159 (1990)
  2. D. Arcoya, "Landesman-Lazer condition and quasilinear elliptic equations", Nonlinear Anal, 28(10), pp.1623~1632 (1997)
  3. L. Boccando, "Landesman-Lazer conditions for strongly non-linear boundary value problems", Comment. Math. Univ. Carolin, 30(3), pp.411~427 (1989)
  4. N. T. Chung, "Existence result for nonuniformly degenerate semilinear elliptic systems in RN", Glasgow Math. J, 51, pp.561~570 (2009)
  5. D. Gilbarg, "Elliptic Partial Differential Equations of Second Order" (2001), Springer Verlag
  6. Trinh Thi Minh Hang, "On existence of weak solutions of Neumann problem for quasilinear elliptic equations involving p-Laplacian in an unbounded domain", 대한수학회보, 48(6), pp.1169~1182 (2011), 대한수학회
  7. D. A. Kandilakis, "A p-Laplacian system with resonance and non-linear boundary conditions on an unbounded domain", Comment. Math. Univ. Carolin, 48(1), pp.59~68 (2007)
  8. N. Lam, "Existence and multiplicity of solutions to equations of N-Laplacian type with critical exponential growth in RN", J. Funct. Anal, 262(3), pp.1132~1165 (2012)
  9. M. Lucia, "A Dirichlet problem with asymptotically linear and changing sign nonlinearity", Rev. Mat. Complut, 16(2), pp.465~481 (2003)
  10. Q. A. Ngo, "Existence of solutions for a resonant problem under Landesman-Lazer condition", Electron. J. Differential Equations, 2008(98), pp.1~10 (2008)
  11. Q. A. Ngo, "Some remarks on a class of nonuniformly elliptic equations of p-Laplacian type", Acta Appl. Math, 106(2), pp.229~239 (2009)
  12. M. Struwe, "Variational Methods" (2008), Springer Verlag
  13. H. Q. Toan, "Existence of weak solutions for a class of nonuniformly nonlinear elliptic equations in unbounded domains", Nonlinear Anal, 70(11), pp.3987~3996 (2009)
  14. P. Tomiczek, "A generalization of the Landesman-Lazer condition", Electron. J. Differen-tial Equations, 2001(4), pp.1~11 (2001)
  15. Z. -Q. Ou, "Resonance problems for the p-Laplacian systems", J. Math. Anal. Appl, 345(1), pp.511~521 (2008)
  16. N. B. Zographopoulos, "p-Laplacian systems on resonance", Appl. Anal, 83(5), pp.509~519 (2004)

관련 논문AI추천

On existence of weak solutions of Neumann problem for quasilinear elliptic equations involving p-Laplacian in an unbounded domainHoang Quoc Toan, Trinh Thi Minh Hang대한수학회 · 대한수학회보2011 · 제48권 제6호MULTIPLE SOLUTIONS FOR A p-LAPLACIAN SYSTEM WITH NONLINEAR BOUNDARY CONDITION김찬균, Jun Zhou대한수학회 · 대한수학회보2014 · 제51권 제1호Boundary value problem for a class of the systems of the nonlinear elliptic equations정택선, 최규흥강원경기수학회 · 한국수학논문집2009 · 제17권 제1호On a class of semilinear elliptic systems involving Grushin type operatorNguyen Thanh Chung대한수학회 · 대한수학회논문집2014 · 제29권 제1호DEGENERATE SEMILINEAR ELLIPTIC PROBLEMS NEAR RESONANCE WITH A NONPRINCIPAL EIGENVALUEChun-Lei Tang, Hong-Min Suo대한수학회 · 대한수학회보2012 · 제49권 제4호Existence of solutions for elliptic system with nonlinearities under the Dirichlet boundary condition남혜원강원경기수학회 · 한국수학논문집2015 · 제23권 제4호

이 간행물의 다른 논문 (21건)

Conditional transform with respect to the Gaussian process involving the conditional convolution product and the first variation장승준, 정현수, 이일용pp. 1561-1577A note on generalized Dirac eigenvalues for split holonomy and torsionIlka Agricola, 김화정pp. 1579-1589Maximum principle, convergence of sequences and angular limits for harmonic Bloch mappingsJinjing Qiao, Hongya Gaopp. 1591-1603Structure of some classes of semisimple group algebras over finite fieldsJ. B. Srivastava, Rajendra Kumar Sharma, Neha Makhijanipp. 1605-1614Generalized matrix functions, irreducibility and equalityMohammad Hossein Jafari, Ali Reza Madadipp. 1615-1623
원문 보기