p-Laplacian Nonlinear boundary conditions P-Laplace operator Critical exponents Laplace transforms Nonlinear equations Optimization Shape optimization Steklov eigenvalues Concentration compactness Eigenvalue problems Optimal design problems Optimization problems Shape derivative Sobolev embedding Variable exponents Eigenvalue optimization problems Free boundaries Sobolev trace constant Sobolev trace constants p-capacity Boundary conditions Homogenization P-Laplacian Perturbation techniques Sobolev trace embedding 46E35 49J40 Bilaplacian Computational fluid dynamics