Perturbation from symmetry and multiplicity of solutions for elliptic problems with subcritical exponential growth in R^2

Cristina Tarsi

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arXiv · math/0411194

Perturbation from symmetry and multiplicity of solutions for elliptic problems with subcritical exponential growth in R^2

Cristina Tarsi

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Abstract

We consider the following boundary value problem -\Delta u= g(x,u) + f(x,u) x\in \Omega u=0 x\in \partial \Omega where $g(x,-\xi)=-g(x,\xi)$ and $g$ has subcritical exponential growth in $\mathbb{R} ^2$. Using the method developed by Bolle, we prove that this problem has infinitely many solutions under suitable conditions on the growth of $g(u)$ and $f(u)$.

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Cristina Tarsi. 2004-11-09. Perturbation from symmetry and multiplicity of solutions for elliptic problems with subcritical exponential growth in R^2. https://arxiv.org/abs/math/0411194

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