arxiv:2108.00891v1 [math.AP] 2 Aug 2021 Page 1 Rayleigh quotients of the level set
manifolds related to the nonlinear PDE Yavdat Il’yasov Institute of Mathematics, Ufa Federal …

We discuss the existence of multiple positive solutions leading to the occurrence of an S-
shaped bifurcation curve to the equations of the form− Δ pu= f (u), with p> 1. We deal with …

This paper deals with nonlinear elliptic boundary value problems with complicated geometry
of nonlinearities. A new method for obtaining multiple solutions based on a recursive use of …

We investigate zero energy critical points for a class of functionals \Phi_μ defined on a
uniformly convex Banach space, and depending on a real parameter μ. More precisely, we …

In this paper, we prove the existence and regularity of solutions of the homogeneous
Dirichlet initial-boundary value problem for a class of degenerate elliptic equations with …

We study some linear eigenvalue problems for the Laplacian operator with singular
absorption or/and source coefficients arising in the linearization around positive solutions to …

In this paper, we deal with equations of variational form which Nahari manifolds can contain
more than two different types of critical points. We introduce a method of separating critical …

In this paper, we study the existence, nonexistence and multiplicity results to a class of
quasilinear elliptic system involving (p, q)\left (p, q\right)‐Laplacian by exploiting the …

We show that the classical strong maximum principle, concerning positive supersolutions of
linear elliptic equations vanishing on the boundary of the domain can be extended, under …

We generalize the Poincaré and Courant–Fischer–Weyl min-max principles to nonlinear
equations by applying the Lusternik–Schnirelmann theory to nonlinear generalized …