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Abstract We consider a semilinear elliptic problem, driven by the Laplacian with Robin boundary condition. We consider a reaction term which is resonant at ± ∞ {\pm\infty} and at 0.… Click to show full abstract
Abstract We consider a semilinear elliptic problem, driven by the Laplacian with Robin boundary condition. We consider a reaction term which is resonant at ± ∞ {\pm\infty} and at 0. Using variational methods and critical groups, we show that under resonance conditions at ± ∞ {\pm\infty} and at zero the problem has at least two nontrivial smooth solutions.
Keywords:
robin;
semilinear robin;
problems resonant;
zero infinity;
robin problems;
resonant zero
Journal Title: Forum Mathematicum
Year Published: 2017
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Journal Title: Forum Mathematicum
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!