In this paper we study implicit obstacle problems driven by a nonhomogenous differential
operator, called double phase operator, and a multivalued term which is described by …

This monograph presents fundamental methods and topics in nonlinear analysis and their
efficient application to nonlinear boundary value problems for elliptic equations. The book is …

This monograph focuses primarily on nonsmooth variational problems that arise from
boundary value problems with nonsmooth data and/or nonsmooth constraints, such as …

This book treats various concepts of generalized derivatives and subdifferentials in normed
spaces, their geometric counterparts and their application to optimization problems. It starts …

If we had to formulate in one sentence what this book is about, it might be “How partial
differential equations can help to understand heat explosion, tumor growth or evolution of …

Foreword Jean Mawhin; Preface; Part I. Variational Principles in Mathematical Physics: 1.
Variational principles; 2. Variational inequalities; 3. Nonlinear eigenvalue problems; 4 …

This second of two Exercises in Analysis volumes covers problems in five core topics of
mathematical analysis: Function Spaces, Nonlinear and Multivalued Maps, Smooth and …

We consider a double phase problems with unbalanced growth and a superlinear reaction,
which need not satisfy the Ambrosetti–Rabinowitz condition. Using variational tools and the …

Page 1 |MEMOIRS of the American Mathematical Society Number 915 Degree Theory for
Operators of Monotone Type and Nonlinear Elliptic Equations with Inequality Constraints Sergiu …

The main goal of this paper is the study of an elliptic obstacle problem with a double phase
phenomena and a multivalued reaction term which also depends on the gradient of the …