keywords: variational methods, Choquard-Kirchhoff equation, fractional magnetic operator, critical Sobolev exponent

keywords: critical point theorem, existence of solutions, fractional Sobolev space, Orlicz-Sobolev space, perturbed functional

keywords: dipolar bodies, polynomial decay, upper bound, spatial estimates, elastodynamics, elastostatics

keywords: dipolar bodies, first boundary value problem, operator of dipolar elasticity, generalized solution, variational method

keywords: p(x)-Laplace operator, Caffarelli-Kohn-Nirenberg inequality, multiple solutions, fountain theorem

keywords: non linear regularity theory, non linear maximum and anti-maximum principles, one-sided sublinear perturbation, one-sided superlinear perturbation, Ambrosetti-Prodi problem, (p,q)-Laplace operator

keywords: inverse problem, optimal control, double phase operator, Steklov eigenvalue problem, implicit obstacle problem, discontinuous parameter, Clarke subdifferential

keywords: convection term, Clarke's generalized gradient, convex subdifferential, implicit obstacle, mixed boundary conditions, multi-valued mapping, anisotropic elliptic problem, existence and compactness, Tychonoff's fixed point theorem

keywords: critical groups, constant sign and nodal solutions, strong comparison, double phase, anisotropic maximum principle, anisotropic regularity

keywords: maximum principle, concave and convex nonlinearities, comparison principles, positive solutions, regularity theory, variable exponent spaces

keywords: maximum principle, positive solutions, regularity theory, logistic reaction, multiplicity and uniqueness of positive solutions, anisotropic p-Laplacian

keywords: maximum principle, singular term, truncation, Moser iteration, comparison principle, anisotropic p-Laplacian, bifurcation-type result, bounded solution

keywords: truncation, anisotropic regularity, minimal solution, comparison principle, modular function

keywords: maximum principle, fixed point, convection, non linear regularity theory, minimal positive solution, non variational problem, anisotropic (p, q)-Laplacian

keywords: variational method, concentration-compactness principle, novel perturbation approach, planar Schrödinger-Newton system

keywords: Bilaplacian equation, singularity coefficient, dual singular method, mortar spectral element method

keywords: multiple solutions, critical groups, Harnack inequality, asymmetric reaction, concave term, indefinite and unbounded potential

keywords: ground state solution, axially symmetry, logarithmic convolution potential, planar Schrödinger-Poisson system

keywords: perturbation, transonic flow, non linear bifurcation problem, degenerate differential operator, Baouendi-Grushin vector field

keywords: large solutions, existence and uniqueness, fully nonlinear elliptic quations

keywords: multiple solutions, variational method, non linear Schrödinger equation, sublinear equation

keywords: Brouwer degree, Fractional Choquard equation, bound state, Berestycki-Lions condition, Hardy-Littlewood Sobolev critical exponent

keywords: variable exponent, non homogeneous differential operator, generalized p(x)-biharmonic equation, singular nonlinearity