Journal
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
Volume 71, Issue 1, Pages -Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/s00033-019-1239-3
Keywords
Double phase operator; Weight function; Superlinear reaction; Nehari manifold; Ground state solution; Nodal solution
Categories
Funding
- Slovenian Research Agency [P1-0292, J1-8131, N1-0064, N1-0083, N1-0114]
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We consider a double phase problem driven by the sum of the p-Laplace operator and a weighted q-Laplacian (q < p), with a weight function which is not bounded away from zero. The reaction term is (p - 1)-superlinear. Employing the Nehari method, we show that the equation has a ground state solution of constant sign and a nodal (sign-changing) solution.
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