Multiple solutions theorems for semilinear elliptic boundary value problems with resonance at infinity

Shujie Li;  ; Zhitao Zhang;

doi:10.3934/dcds.1999.5.489

Multiple solutions theorems for semilinear elliptic boundary value problems with resonance at infinity

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.1999.5.489 ◽

1999 ◽

Vol 5 (3) ◽

pp. 489-493 ◽

Cited By ~ 8

Author(s):

Shujie Li ◽

◽

Zhitao Zhang ◽

Keyword(s):

Boundary Value Problems ◽

Multiple Solutions ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Semilinear Elliptic

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Multiple solutions for semilinear elliptic boundary value problems with double resonance

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2008.12.053 ◽

2009 ◽

Vol 354 (1) ◽

pp. 147-158 ◽

Cited By ~ 28

Author(s):

Zhanping Liang ◽

Jiabao Su

Keyword(s):

Boundary Value Problems ◽

Multiple Solutions ◽

Elliptic Boundary ◽

Boundary Value ◽

Double Resonance ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Semilinear Elliptic

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Fucik Spectrum, Sign-Changing, and Multiple Solutions for Semilinear Elliptic Boundary Value Problems with Resonance at Infinity

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.2000.6969 ◽

2000 ◽

Vol 250 (2) ◽

pp. 449-464 ◽

Cited By ~ 32

Author(s):

E.N. Dancer ◽

Zhitao Zhang

Keyword(s):

Boundary Value Problems ◽

Multiple Solutions ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Fučík Spectrum ◽

Semilinear Elliptic ◽

Fučik Spectrum ◽

Fucik Spectrum

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Sign-Changing Solutions and Multiple Solutions Theorems for Semilinear Elliptic Boundary Value Problems with a Reaction Term Nonzero at Zero

Journal of Differential Equations ◽

10.1006/jdeq.2001.4015 ◽

2002 ◽

Vol 178 (2) ◽

pp. 298-313 ◽

Cited By ~ 12

Author(s):

Zhitao Zhang ◽

Xiaodong Li

Keyword(s):

Boundary Value Problems ◽

Multiple Solutions ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Reaction Term ◽

Semilinear Elliptic ◽

Sign Changing Solutions

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Sign-Changing and Multiple Solutions Theorems for Semilinear Elliptic Boundary Value Problems with Jumping Nonlinearities

Acta Mathematica Sinica ◽

10.1007/pl00011539 ◽

2000 ◽

Vol 16 (1) ◽

pp. 113-122 ◽

Cited By ~ 1

Author(s):

Shujie Li ◽

Zhitao Zhang

Keyword(s):

Boundary Value Problems ◽

Multiple Solutions ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Semilinear Elliptic ◽

Jumping Nonlinearities

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Fucik spectrum, sign-changing and multiple solutions for semilinear elliptic boundary value problems with jumping nonlinearities at zero and infinity

Science in China Series A Mathematics ◽

10.1007/bf02880135 ◽

2001 ◽

Vol 44 (7) ◽

pp. 856-866 ◽

Cited By ~ 12

Author(s):

Shujie Li ◽

Zhitao Zhang

Keyword(s):

Boundary Value Problems ◽

Multiple Solutions ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Fučík Spectrum ◽

Semilinear Elliptic ◽

Fučik Spectrum ◽

Jumping Nonlinearities

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Sign-Changing and Multiple Solutions Theorems for Semilinear Elliptic Boundary Value Problems with Jumping Nonlinearities

Acta Mathematica Sinica English Series ◽

10.1007/s101149900031 ◽

2000 ◽

Vol 16 (1) ◽

pp. 113-122 ◽

Cited By ~ 13

Author(s):

Shujie Li ◽

Zhitao Zhang

Keyword(s):

Boundary Value Problems ◽

Multiple Solutions ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Semilinear Elliptic ◽

Jumping Nonlinearities

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Singularly perturbed semilinear elliptic boundary value problems with discontinuous source term

Boundary Value Problems ◽

10.1186/s13661-016-0673-9 ◽

2016 ◽

Vol 2016 (1) ◽

Cited By ~ 1

Author(s):

Dongdong Nie ◽

Feng Xie

Keyword(s):

Boundary Value Problems ◽

Source Term ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Singularly Perturbed ◽

Elliptic Boundary Value ◽

Semilinear Elliptic ◽

Discontinuous Source Term

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Semilinear Elliptic Boundary Value Problems: Abstract Approach and Strong Solutions

Springer Series in Computational Mathematics - Numerical Verification Methods and Computer-Assisted Proofs for Partial Differential Equations ◽

10.1007/978-981-13-7669-6_6 ◽

2019 ◽

pp. 179-213

Author(s):

Mitsuhiro T. Nakao ◽

Michael Plum ◽

Yoshitaka Watanabe

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Strong Solutions ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Semilinear Elliptic ◽

Abstract Approach

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Semilinear elliptic boundary value problems with double resonance between two consecutive eigenvalues

Nonlinear Analysis ◽

10.1016/s0362-546x(00)00221-2 ◽

2002 ◽

Vol 48 (6) ◽

pp. 881-895 ◽

Cited By ~ 59

Author(s):

Jiabao Su

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Double Resonance ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Semilinear Elliptic

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Numerical verification methods for solutions of semilinear elliptic boundary value problems

Nonlinear Theory and Its Applications IEICE ◽

10.1587/nolta.2.2 ◽

2011 ◽

Vol 2 (1) ◽

pp. 2-31 ◽

Cited By ~ 15

Author(s):

Mitsuhiro T. Nakao ◽

Yoshitaka Watanabe

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Numerical Verification ◽

Elliptic Boundary Value ◽

Semilinear Elliptic ◽

Verification Methods

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