| Abstract: |
| In this talk, we present existence and multiplicity results for Kirchhoff Dirichlet equations of double phase type with right-hand sides that grow superlinearly and subcritically. We prove the existence of two constant sign solutions (one is positive, the other one negative) and of a sign-changing solution which turns out to be a least energy sign-changing solution. Our proofs are based on variational tools in combination with the quantitative deformation lemma and the Poincar\`{e}-Miranda existence theorem. This is a joint work with \`{A}ngel Crespo-Blanco (Berlin) and Leszek Gasi\`{n}ski (Krakow). |
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